Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics

Abstract

We review the use of an exact renormalization group equation in quantum field theory and statistical physics. It describes the dependence of the free energy on an infrared cutoff for the quantum or thermal fluctuations. Non-perturbative solutions follow from approximations to the general form of the coarse-grained free energy or effective average action. They interpolate between the microphysical laws and the complex macroscopic phenomena. Our approach yields a simple unified description for O(N)-symmetric scalar models in two, three or four dimensions, covering in particular the critical phenomena for the second-order phase transitions, including the Kosterlitz-Thouless transition and the critical behavior of polymer chains. We compute the aspects of the critical equation of state which are universal for a large variety of physical systems and establish a direct connection between microphysical and critical quantities for a liquid-gas transition. Universal features of first-order phase transitions are studied in the context of scalar matrix models. We show that the quantitative treatment of coarse graining is essential for a detailed estimate of the nucleation rate. We discuss quantum statistics in thermal equilibrium or thermal quantum field theory with fermions and bosons and we describe the high temperature symmetry restoration in quantum field theories with spontaneous symmetry breaking. In particular, we explore chiral symmetry breaking and the high temperature or high density chiral phase transition in quantum chromodynamics using models with effective four-fermion interactions.

178 pages, appears in Physics Reports

References in corpus (4)

• Exact evolution equation for the effective potential
• Goldstone-mode effects and scaling function for the three-dimensional O(4) model
• Quark Matter 99 Summary: Hadronic Signals
• The Thermal Renormalization Group for Fermions, Universality, and the Chiral Phase-Transition

Cited by in corpus (1124)

• Aspects of the Functional Renormalisation Group
• Universality classes in nonequilibrium lattice systems
• Functional renormalization group approach to correlated fermion systems
• The nonperturbative functional renormalization group and its applications
• Keldysh Field Theory for Driven Open Quantum Systems
• The Phase Structure of the Polyakov--Quark-Meson Model
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Quantum Field Theory in the Large N Limit: a review
• Fixed points of quantum gravity
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Exact Renormalization Group Equations. An Introductory Review
• Baryons as relativistic three-quark bound states
• Asymptotic safety of gravity and the Higgs boson mass
• Quantum Einstein Gravity
• The QCD phase structure at finite temperature and density
• An Introduction to the Nonperturbative Renormalization Group
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Asymptotic safety in higher-derivative gravity
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Quark Confinement from Color Confinement
• Introduction to the functional RG and applications to gauge theories
• Long-range interacting quantum systems
• Fundamentals of the Exact Renormalization Group
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• The QCD Running Coupling
• Fractal Spacetime Structure in Asymptotically Safe Gravity
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• On the possible running of the cosmological "constant"
• Chiral symmetry breaking in continuum QCD
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
• Cosmology of the Lifshitz universe
• On the renormalization group flow of f(R)-gravity
• Landau gauge Yang-Mills correlation functions
• Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• The Phase Diagram of the Quark-Meson Model
• Asymptotic Safety of Gravity Coupled to Matter
• Possible $S_{\pm }$-wave superconductivity in La${}_3$Ni${}_2$O${}_7$
• Further evidence for asymptotic safety of quantum gravity
• On the relation of quark confinement and chiral symmetry breaking
• Nonperturbative renormalization group approach to frustrated magnets
• Contraints on Matter from Asymptotic Safety
• Optimization of the derivative expansion in the nonperturbative renormalization group
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Light mesons in QCD and unquenching effects from the 3PI effective action
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order ${\partial }^4$
• Resumming Cosmic Perturbations
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Renormalisation group and the Planck scale
• Fixed points of quantum gravity in extra dimensions
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Renormalization Group Flow in Scalar-Tensor Theories. I
• Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation
• Chiral phase boundary of QCD at finite temperature
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• A new method to solve the Non Perturbative Renormalization Group equations
• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Top mass from asymptotic safety
• Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
• Renormalization Group Approach towards the QCD Phase Diagram
• Global Flows in Quantum Gravity
• Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
• Quantum Gravity at Astrophysical Distances?
• From infinite to two dimensions through the functional renormalization group
• Confinement from Correlation Functions
• Asymptotic freedom of Yang-Mills theory with gravity
• The Renormalization Group flow of unimodular f(R) gravity
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Physics searches at the LHC
• Asymptotic safety: a simple example
• Geometry and field theory in multi-fractional spacetime
• Crumpling transition and flat phase of polymerized phantom membranes
• Convergence of Non-Perturbative Approximations to the Renormalization Group
• Universality of spontaneous chiral symmetry breaking in gauge theories
• On the phase structure and thermodynamics of QCD
• Proper Time Flow Equation for Gravity
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Dark matter clustering: a simple renormalization group approach
• Nonthermal fixed points and the functional renormalization group
• Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
• Black holes and asymptotically safe gravity
• Quark-meson-diquark model for two-color QCD
• Driven Markovian Quantum Criticality
• Light fermions in quantum gravity
• Completeness and consistency of renormalisation group flows
• Ising exponents from the functional renormalisation group
• Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
• Improved Polyakov-loop potential for effective models from functional calculations
• Resolving Spacetime Singularities within Asymptotic Safety
• An asymptotically safe solution to the U(1) triviality problem
• Lectures on renormalization and asymptotic safety
• Quantum-gravity effects on a Higgs-Yukawa model
• Matter Induced Bimetric Actions for Gravity
• Agravity up to infinite energy
• Aspects of asymptotic safety for quantum gravity
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Derivative expansion and renormalisation group flows
• From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Background Independence and Asymptotic Safety in Conformally Reduced Gravity
• Renormalizability of gauge theories in extra dimensions
• Criticality and Phase Diagram of Quantum Long-Range $\text{O(N)}$ models
• Thermodynamics of QCD at vanishing density
• Quantum gravity: a fluctuating point of view
• A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
• Quantum-gravity-induced matter self-interactions in the asymptotic-safety scenario
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Precision calculation of critical exponents in the $O(N)$ universality classes with the nonperturbative renormalization group
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Renormalization-group running cosmologies - a scale-setting procedure
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Viability of quantum-gravity induced ultraviolet completions for matter
• Entropy signature of the running cosmological constant
• Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action
• Non-perturbative renormalisation group for the Kardar-Parisi-Zhang equation: general framework and first applications
• Magnetic catalysis in hot and dense quark matter and quantum fluctuations
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model
• Phase transition and critical behaviour of the d=3 Gross-Neveu model
• The local potential approximation in quantum gravity
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Quantum Gravity Effects in the Kerr Spacetime
• Asymptotic safety in an interacting system of gravity and scalar matter
• Phase diagram in an external magnetic field beyond a mean-field approximation
• Quantum gravity and Standard-Model-like fermions
• Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
• How perturbative is quantum gravity?
• Towards a renormalizable standard model without fundamental Higgs scalar
• The Universal RG Machine
• Fixed Points Structure & Effective Fractional Dimension for O(N) Models with Long-Range Interactions
• Black hole thermodynamics under the microscope
• Higgs scalar potential in asymptotically safe quantum gravity
• Supersymmetry and its spontaneous breaking in the random field Ising model
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Temperature dependence of antiferromagnetic order in the Hubbard model
• Riding on irrelevant operators
• The QCD Phase Boundary from Quark-Gluon Dynamics
• The Vacuum Structure of Vector Mesons in QCD
• Solutions of renormalization group flow equations with full momentum dependence
• Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
• New applications of renormalization group methods in nuclear physics
• On the Phase Structure of Many-Flavor QED${}_3$
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Hyper-order baryon number fluctuations at finite temperature and density
• Critical behavior of O(2)xO(N) symmetric models
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Imbalanced Fermi Gases at Unitarity
• Nonperturbative functional renormalization group for random field models: the way out of dimensional reduction
• Flow Equations for the BCS-BEC Crossover
• Quantum critical behavior in three dimensional lattice Gross-Neveu models
• Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
• On the number of relevant operators in asymptotically safe gravity
• Zooming in on fermions and quantum gravity
• General framework of the non-perturbative renormalization group for non-equilibrium steady states
• Numerical analytic continuation of Euclidean data
• Non-perturbative fixed point in a non-equilibrium phase transition
• Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)
• Flow Equations without Mean Field Ambiguity
• QCD at finite temperature and density within the fRG approach: An overview
• Exotic RG Flows from Holography
• The critical O(N) CFT: Methods and conformal data
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
• On the Phase Structure of QCD in a Finite Volume
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
• A unified picture of ferromagnetism, quasi-long range order and criticality in random field models
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Dynamical field theory for glass-forming liquids, self-consistent resummations and time-reversal symmetry
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Fluctuations and the axial anomaly with three quark flavors
• Chiral dynamics in a magnetic field from the functional renormalization group
• Nonminimal hints for asymptotic safety
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Continuum limit in matrix models for quantum gravity from the Functional Renormalization Group
• Non-perturbative finite-temperature Yang-Mills theory
• Critical properties of the Anderson localization transition and the high dimensional limit
• O(N)-Universality Classes and the Mermin-Wagner Theorem
• Critical behavior of Dirac fermions from perturbative renormalization
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• The Higgs Mass and the Scale of New Physics
• Dynamical crossovers in prethermal critical states
• UV fixed-point structure of the three-dimensional Thirring model
• FormTracer - A Mathematica Tracing Package Using FORM
• From local to critical fluctuations in lattice models: a non-perturbative renormalization-group approach
• Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1, 2+1 and 3+1 dimensions
• Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. I: Effective Average Action Formalism
• Global solutions of functional fixed point equations via pseudo-spectral methods
• Non-perturbative thermal flows and resummations
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model
• Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
• Critical Opalescence in Baryonic QCD Matter
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• Critical behavior of the (2+1)-dimensional Thirring model
• Renormalization group flow and symmetry restoration in de Sitter space
• Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
• Fully developed isotropic turbulence: nonperturbative renormalization group formalism and fixed point solution
• Particle-hole fluctuations in the BCS-BEC Crossover
• Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment
• Variable Planck mass from the gauge invariant flow equation
• Fixed-Functionals of three-dimensional Quantum Einstein Gravity
• Real-Time Correlation Functions in the O(N) Model from the Functional Renormalization Group
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Critical exponents of O(N) models in fractional dimensions
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• On the Functional Renormalization Group approach for Yang-Mills fields
• Non perturbative renormalization group and momentum dependence of n-point functions (II)
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Ultracold atoms and the Functional Renormalization Group
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Non-perturbative Approach to Critical Dynamics
• Fixed Points of Nonlinear Sigma Models in d>2
• The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
• Quantitative Phase Diagrams of Branching and Annihilating Random Walks
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. II: Results for the Random Field O(N) Model
• Towards quantitative precision in the chiral crossover: masses and fluctuation scales
• Asymptotically Safe Cosmology
• Beyond Miransky Scaling
• Renormalization: an advanced overview
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint
• Nonperturbative Functional Renormalization Group for Random Field Models. IV: Supersymmetry and its spontaneous breaking
• Background independent exact renormalization group for conformally reduced gravity
• Universal Aspects of QCD-like Theories
• Ising and Gross-Neveu model in next-to-leading order
• Introduction to the nonequilibrium functional renormalization group
• Functional renormalization group studies of nuclear and neutron matter
• Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature
• Asymptotic Safety, Fractals, and Cosmology
• An effective action for asymptotically safe gravity
• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
• Analytic continuation of functional renormalization group equations
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• Nonperturbative renormalization-group approach to strongly-correlated lattice bosons
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Critical behavior in spherical and hyperbolic spaces
• Baryon number fluctuations in chiral effective models and their phenomenological implications
• Fermion-induced quantum criticality in two-dimensional Dirac semimetals: Non-perturbative flow equations, fixed points and critical exponents
• High-accuracy scaling exponents in the local potential approximation
• Renormalization and asymptotic safety in truncated quantum Einstein gravity
• Functional renormalization group approach to the sine-Gordon model
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• Universality and the Renormalisation Group
• Critical exponents can be different on the two sides of a transition: A generic mechanism
• Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Solutions to the reconstruction problem in asymptotic safety
• Polyakov-Quark-Meson-Diquark Model for two-color QCD
• Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation
• Lorentz invariance violations in the interplay of quantum gravity with matter
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Solving functional flow equations with pseudo-spectral methods
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• Finite temperature spectral functions in the O(N)-model
• Universal location of the Yang-Lee edge singularity in O(N) theories
• Features of the inflaton potential and the power spectrum of cosmological perturbations
• Multi-meson Yukawa interactions at criticality
• Non-perturbative renormalization-group approach to the Bose-Hubbard model
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point
• Functional renormalization group approach to the BCS-BEC crossover
• Linking the Quark Meson Model with QCD at High Temperature
• Flow equations for spectral functions at finite external momenta
• Multicritical behavior in models with two competing order parameters
• Exact RG Flow in an Expanding Universe and Screening of the Cosmological Constant
• Functional renormalization for Bose-Einstein Condensation
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Correlated fluctuations near the QCD critical point
• Higgs Mass Bounds from Renormalization Flow for a simple Yukawa model
• Asymptotic safety of simple Yukawa systems
• Gauge invariant renormalizability of quantum gravity
• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Spirals and skyrmions in two dimensional oxide heterostructures
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• Universal thermodynamics of a two-dimensional Bose gas
• Criticality of Spin Systems with Weak Long-Range Interactions
• Fluctuations and isentropes near the chiral critical endpoint
• Essential Quantum Einstein Gravity
• Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four
• From bulk to microphase separation in scalar active matter: A perturbative renormalization group analysis
• On the IR Divergences in de Sitter Space: loops, resummation and the semi-classical wavefunction
• Non-equilibrium phase transition in relativistic nuclear collisions: Importance of the equation of state
• Spectrum oscillations from features in the potential of single-field inflation
• Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
• XY frustrated systems: continuous exponents in discontinuous phase transitions
• Towards phase transitions between discrete and continuum quantum spacetime from the Renormalization Group
• Nonperturbative Functional Renormalization Group for Random Field Models. III: Superfield formalism and ground-state dominance
• Far-from-equilibrium quantum many-body dynamics
• An asymptotic safety scenario for gauged chiral Higgs-Yukawa models
• Renormalization group flow for fermionic superfluids at zero temperature
• Light charged fermions in quantum gravity
• Mass sensitivity of the three-flavor chiral phase transition
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Renormalisation Flow and Universality for Ultracold Fermionic Atoms
• Higgs amplitude mode in the vicinity of a $(2+1)$-dimensional quantum critical point: a nonperturbative renormalization-group approach
• Probing Baryogenesis through the Higgs Self-Coupling
• Universality in Phase Transitions for Ultracold Fermionic Atoms
• Corrections to scaling in the critical theory of deconfined criticality
• Scaling Solutions in Continuous Dimension
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• Equivalence of Local Potential Approximations
• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• Non-equilibrium effective field theory for absorbing state phase transitions in driven open quantum spin systems
• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Infrared behavior and spectral function of a Bose superfluid at zero temperature
• Correlated starting points for the functional renormalization group
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Lee-Yang model from the functional renormalization group
• Manifestly Gauge Invariant QCD
• Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons
• A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
• Physical renormalization schemes and asymptotic safety in quantum gravity
• Efimov effect from functional renormalization
• Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
• The application of the Quark-Hadron Chiral Parity-Doublet Model to neutron star matter
• Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
• Epsilon Expansion for Multicritical Fixed Points and Exact Renormalisation Group Equations
• Nonperturbative quark matter equations of state with vector interactions
• Faddeev-Popov ghosts in quantum gravity beyond perturbation theory
• The Planck scale, the Higgs mass and scalar dark matter
• Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions
• Critical Phenomena in Continuous Dimension
• Renormalization group flow of Hořava-Lifshitz gravity at low energies
• Effective Potential in Curved Space and Cut-Off Regularizations
• Renormalization group methods and the 2PI effective action
• Functional renormalization for trion formation in ultracold fermion gases
• Global flow of the Higgs potential in a Yukawa model
• Theory of Pressure Dependence of Superconductivity in Bilayer Nickelate La${}_3$Ni${}_2$O${}_7$
• Asymptotic safety goes on shell
• Criticality of the random field Ising model in and out of equilibrium: a nonperturbative functional renormalization group description
• Polyakov Effective Action from Functional Renormalization Group Equation
• Spontaneous Symmetry Breaking and Proper-Time Flow Equations
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Computing the Effective Action with the Functional Renormalization Group
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Functional renormalization group with vacuum expectation values and spontaneous symmetry breaking
• Scale invariance implies conformal invariance for the three-dimensional Ising model
• Fermion-induced quantum criticality with two length scales in Dirac systems
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Unified picture of superfluidity: From Bogoliubov's approximation to Popov's hydrodynamic theory
• On the impact of Majorana masses in gravity-matter systems
• Subleading critical exponents from the renormalisation group
• 25 Years of Self-Organized Criticality: Numerical Detection Methods
• Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation
• Bouncing and emergent cosmologies from ADM RG flows
• Low energy Quantum Gravity from the Effective Average Action
• Three-body scattering from nonperturbative flow equations
• Non-perturbative renormalization-group approach to zero-temperature Bose systems
• Phase structure of spin-imbalanced unitary Fermi gases
• Primordial Entropy Production and Lambda-driven Inflation from Quantum Einstein Gravity
• Essential renormalisation group
• Renormalization group study of the four-body problem
• First order phase transitions in polymerized phantom membranes
• Turning a First Order Quantum Phase Transition Continuous by Fluctuations: General Flow Equations and Application to d-Wave Pomeranchuk Instability
• Non-linear Matter Spectra in Coupled Quintessence
• The Functional Renormalization Group and O(4) scaling
• Universal Properties of the Higgs Resonance in (2+1)-Dimensional U(1) Critical Systems
• Critical QCD in Nuclear Collisions
• Second-order and Fluctuation-induced First-order Phase Transitions with Functional Renormalization Group Equations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• The Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group
• Analytical approximation schemes for solving exact renormalization group equations. II Conformal mappings
• Global Wilson-Fisher fixed points
• Scalar-Tensor theories within Asymptotic Safety
• Charged spinning and magnetized test particles orbiting quantum improved charged black holes
• Analytic and Numerical Bootstrap of CFTs with $O(m)\times O(n)$ Global Symmetry in 3D
• Superfluid Bose gas in two dimensions
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation
• Functional renormalization group approach to interacting bosons at zero temperature
• Functional renormalization group approach and gauge dependence in gravity theories
• Functional Integral for Ultracold Fermionic Atoms
• Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
• Nonlocal effective average action approach to crystalline phantom membranes
• Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
• Critical O(N) models above four dimensions: Small-N solutions and stability
• Anisotropic Long-Range Spin Systems
• Functional renormalization group study of the Quark-Meson model with $\omega$ meson
• Modified Fermi-sphere, pairing gap and critical temperature for the BCS-BEC crossover
• Exact scheme independence at one loop
• Asymptotic safety and the cosmological constant
• Renormalization group for phases with broken discrete symmetry near quantum critical points
• Exact renormalization group for quantum spin systems
• Bound state properties from the Functional Renormalisation Group
• Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
• CrasyDSE: A framework for solving Dyson-Schwinger equations
• Exact renormalization group and Phi-derivable approximations
• Net quark number probability distribution near the chiral crossover transition
• Fixed Points of Quantum Gravity and the Renormalisation Group
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Nonperturbative renormalization for the neural network-QFT correspondence
• Some non-renormalization theorems in Curci-Ferrari model
• Fixed points and the spontaneous breaking of scale invariance
• Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion
• Thermal properties and evolution of the $U_A(1)$ factor for 2+1 flavors
• DoFun 3.0: Functional equations in Mathematica
• Criticality of the net-baryon number probability distribution at finite density
• Flow Equation for Supersymmetric Quantum Mechanics
• Infrared fixed point in quantum Einstein gravity
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Shocks and quark-meson scatterings at large density
• Non Perturbative Renormalization Group, momentum dependence of $n$-point functions and the transition temperature of the weakly interacting Bose gas
• Critical phenomena from the two-particle irreducible 1/N expansion
• Spatiotemporal velocity-velocity correlation function in fully developed turbulence
• Exact multilocal renormalization on the effective action : application to the random sine Gordon model statics and non-equilibrium dynamics
• Critical $O(N)$ models in the complex field plane
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Gauge invariance of the background average effective action
• Rotation Symmetry Breaking Condensate in a Scalar Theory
• Phenomenology of a First Order Dark State Phase Transition
• Splitting Ward identity
• Nonperturbative functional renormalization-group approach to the sine-Gordon model and the Lukyanov-Zamolodchikov conjecture
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• Optimization of field-dependent nonperturbative renormalization group flows
• Non-Fermi liquid Superconductivity: Eliashberg versus the Renormalization Group
• Functional renormalisation group for turbulence
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Asymptotic safety of scalar field theories
• Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization
• Vector and Axial-Vector Mesons in Nuclear Matter
• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• Relational evolution of effectively interacting GFT quantum gravity condensates
• Scalegenesis and fermionic dark matters in the flatland scenario
• Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• The Accelerated expansion of the Universe as a crossover phenomenon
• QCD phase transitions in the light quark chiral limit
• Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• Scaling functions for the O(4)-model in d=3 dimensions
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Scaling and superscaling solutions from the functional renormalization group
• Thermodynamics in the vicinity of a relativistic quantum critical point in 2+1 dimensions
• Non-perturbative dynamics and charge fluctuations in effective chiral models
• Phase Diagram and Fixed-Point Structure of two dimensional N=1 Wess-Zumino Models
• Compatible orders and fermion-induced emergent symmetry in Dirac systems
• Self-consistent Spectral Functions in the $O(N)$ Model from the FRG
• The smooth cut-off Hierarchical Reference Theory of fluids
• Functional renormalization group and 2PI effective action formalism
• Functional renormalization group in stochastic inflation
• Restricted Boltzmann Machines for the Long Range Ising Models
• Volume dependence of baryon number cumulants and their ratios
• Three-body loss in lithium from functional renormalization
• Strangeness Neutrality and QCD Thermodynamics
• Dynamic universality class of Model C from the functional renormalization group
• Renormalization Group Flow as Optimal Transport
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Effective interactions and fluctuation effects in spin-singlet superfluids
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Comparison of renormalization group schemes for sine-Gordon type models
• Cosmological ${\alpha }^{\prime }$-corrections from the functional renormalization group
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Pseudogap opening in the two-dimensional Hubbard model: A functional renormalization group analysis
• Renormalization Group Studies of Dense Relativistic Systems
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• The non-perturbative renormalization group in the ordered phase
• Quantum criticality of reconstructing Fermi surfaces in antiferromagnetic metals
• Renormalizable parameters of the sine-Gordon model
• Anomalous scaling at non-thermal fixed points of Burgers' and Gross-Pitaevskii turbulence
• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows
• Conformal invariance in the nonperturbative renormalization group: a rationale for choosing the regulator
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• A non-perturbative renormalization group study of the stochastic Navier--Stokes equation
• Recent developments of the Hierarchical Reference Theory of Fluids and its relation to the Renormalization Group
• Asymptotic freedom and safety in quantum gravity
• Fulfillment of sum rules and Ward identities in the multiloop functional renormalization group solution of the Anderson impurity model
• Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -
• Renormalization group study of Bose polarons
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Functional renormalisation group for two-body scattering
• Emergent Hadrons and Diquarks
• Brans-Dicke theory in the local potential approximation
• Universal gravitational-wave signatures from heavy new physics in the electroweak sector
• Noether symmetry approach in pure gravity with variable G and Lambda
• Interplay of spin waves and vortices in the 2D XY model at small vortex-core energy
• Infrared limit of quantum gravity
• Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
• Dimensional crossover of nonrelativistic bosons
• A note on scaling arguments in the effective average action formalism
• Longitudinal fluctuations in the Berezinskii-Kosterlitz-Thouless phase
• BRST in the Exact RG
• The ghost-gluon vertex in the presence of the Gribov horizon
• Phase structure of NJL model with weak renormalization group
• Bosonic effective action for interacting fermions
• Patch-repetition correlation length in glassy systems
• Are there scaling solutions in the O(N)-models for large N in d>4?
• Nonlinear Aspects of the Renormalization Group Flows of Dyson's Hierarchical Model
• Fermionic spectral functions with the Functional Renormalization Group
• Entropy Production during Asymptotically Safe Inflation
• Quantum correlations for the metric
• The Wilson-Polchinski exact renormalization group equation
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Dense two-color QCD from Dyson-Schwinger equations
• Breaking of scale invariance in the time dependence of correlation functions in isotropic and homogeneous turbulence
• Dual lattice functional renormalization group for the Berezinskii-Kosterlitz-Thouless transition: irrelevance of amplitude and out-of-plane fluctuations
• Functional renormalization group approach to the Yang-Lee edge singularity
• Real-time dynamics of false vacuum decay
• Functional renormalization group at finite density and Bose condensation
• Many-flavor Phase Diagram of the (2+1)d Gross-Neveu Model at Finite Temperature
• Nonperturbative thermodynamics of an interacting Bose gas
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• The Quark-Meson Model and the Phase Diagram of Two-Flavour QCD
• Vanishing Beta Function curves from the Functional Renormalisation Group
• Non-Perturbative Renormalization Group for Simple Fluids
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Remarks on Exact RG Equations
• Gravity and Matter with Asymptotic Safety
• A glassy phase in quenched disordered graphene and crystalline membranes
• Multifractional spacetimes, asymptotic safety and Hořava-Lifshitz gravity
• Gentle introduction to rigorous Renormalization Group: a worked fermionic example
• Asymptotic safety and Kaluza-Klein gravitons at the LHC
• Antiferromagnetic gap in the Hubbard model
• Renormalization-group flow of the effective action of cosmological large-scale structures
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Spin functional renormalization group for quantum Heisenberg ferromagnets: Magnetization and magnon damping in two dimensions
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• Strangeness neutrality and baryon-strangeness correlations
• Critical behavior of supersymmetric O(N) models in the large-N limit
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Universality in antiferromagnetic strange metals
• Spontaneous symmetry breaking and optimization of functional renormalization group
• Lessons from conformally reduced quantum gravity
• Asymptotically Safe QED
• Functional dependence of axial anomaly via mesonic fluctuations in the three flavor linear sigma model
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Functional renormalization group for d-wave superconductivity in Hubbard type models
• Reaction-diffusion processes and non-perturbative renormalisation group
• Functional renormalization group approach to non-collinear magnets
• Truncation Effects in the Functional Renormalization Group Study of Spontaneous Symmetry Breaking
• Asymptotically free scaling solutions in nonabelian Higgs models
• Spatio-temporal correlations in 3D homogeneous isotropic turbulence
• Functional Renormalization Group approach to the Kraichnan model
• Mobile impurity in a Fermi sea from the functional renormalization group analytically continued to real time
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Thermodynamics of a Bose gas near the superfluid--Mott-insulator transition
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• Onset of symmetry breaking by the functional RG method
• A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
• Anomalous dimensions determine the power counting -- Wilsonian RG analysis of nuclear EFT --
• Nonabelian Higgs models: paving the way for asymptotic freedom
• Critical scales in anisotropic spin systems from functional renormalization
• The renormalisation group and nuclear forces
• Avalanches and dimensional reduction breakdown in the critical behavior of disordered systems
• Finite scale singularity in the renormalization group flow of a reaction-diffusion system
• The flat phase of polymerized membranes at two-loop order
• A Non-Perturbative Renormalization Group approach to quantum XY spin models
• Can we see quantum gravity? Photons in the asymptotic-safety scenario
• U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group
• Self-energy effects in functional renormalization group flows of the two-dimensional $t$-$t^{\prime }$ Hubbard model away from van Hove filling
• Calculation of the pressure of a hot scalar theory within the Non-Perturbative Renormalization Group
• Infrared Behavior of Quantum Fields in Inflationary Cosmology -- Issues and Approaches: an overview
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. III. Shock and rarefaction waves in RG flows reveal limitations of the $N\to \infty$ limit in $O(N)$-type models
• Perturbative and non-perturbative aspects of the proper time renormalization group
• Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
• Renormalization group flow equations connected to the $n$PI effective action
• The flat phase of quantum polymerized membranes
• Theoretical overview: towards understanding the quark-gluon plasma
• Real-time methods for spectral functions
• Functional renormalization-group calculation of the equation of state of one-dimensional nuclear matter inspired by the Hohenberg--Kohn theorem
• Non-Perturbative Renormalization Group calculation of the scalar self-energy
• Quark-meson model under rotation: A functional renormalization group study
• KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
• Phases of supersymmetric O(N) theories
• Homotopic Action: A Pathway to Convergent Diagrammatic Theories
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Quantum censorship in two dimensions
• Fractionalized quantum criticality in spin-orbital liquids from field theory beyond the leading order
• The finite $N$ origin of the Bardeen-Moshe-Bander phenomenon and its extension at $N=\infty$ by singular fixed points
• On Exact Proper Time Wilsonian RG Flows
• Phase transitions in group field theory: The Landau perspective
• Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models
• Thermodynamics of the two-dimensional XY model from functional renormalization
• Analysis of the dissipative range of the energy spectrum in grid turbulence and in direct numerical simulations
• Nonperturbative renormalization-group approach to fermion systems in the two-particle-irreducible effective action formalism
• Gravitational instantons and anomalous chiral symmetry breaking
• The fate of non-polynomial interactions in scalar field theory
• Spectral function of the Anderson impurity model at finite temperatures
• An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
• Momentum dependence of quantum critical Dirac systems
• Pions are neither perturbative nor nonperturbative: Wilsonian renormalization group analysis of nuclear effective field theory including pions
• Progress in the solving nonperturbative renormalization group for tensorial group field theory
• Large N Quantum Gravity
• Kardar-Parisi-Zhang Equation with temporally correlated noise: a non-perturbative renormalization group approach
• Revisited functional renormalization group approach for random matrices in the large-$N$ limit
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Generalized universality in the massive sine-Gordon model
• Renormalization theory for the Fulde-Ferrell-Larkin-Ovchinnikov states at $T>0$
• From quarks and gluons to color superconductivity at supranuclear densities
• Anomalous scaling of fermions and order parameter fluctuations at quantum criticality
• Can the Renormalization Group Improved Effective Potential be used to estimate the Higgs Mass in the Conformal Limit of the Standard Model?
• Stationary, isotropic and homogeneous two-dimensional turbulence: a first non-perturbative renormalization group approach
• On the Possibility of Quantum Gravity Effects at Astrophysical Scales
• A new functional flow equation for Einstein-Cartan quantum gravity
• On the weak-gravity bound for a shift-symmetric scalar field
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• Dissipative spin dynamics in hot quantum paramagnets
• (No) phase transition in tensorial group field theory
• Background independent exact renormalisation
• Visualising quantum effective action calculations in zero dimensions
• Scaling solutions in the derivative expansion
• Non-universality in the erosion of tilted landscapes
• Isotropic Lifshitz point in the O(N) Theory
• Non-Perturbative Renormalization Group for the Diffusive Epidemic Process
• Activated dynamic scaling in the random-field Ising model: a nonperturbative functional renormalization group approach
• Fluctuation induced first order phase transition in U(n)xU(n) models using chiral invariant expansion of functional renormalization group flows
• Fluctuations of imbalanced fermionic superfluids in two dimensions induce continuous quantum phase transitions and non-Fermi liquid behavior
• Scaling relations and multicritical phenomena from Functional Renormalization
• Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover
• Fluid Membranes and 2d Quantum Gravity
• Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization
• On the 2-point function of the O(N) model
• Asymptotic safety and gauged baryon number
• Products of composite operators in the exact renormalization group formalism
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Effective field equations and scale-dependent couplings in gravity
• Mesonic dynamics and QCD phase transition
• Some Aspects of the Theory of Heavy Ion Collisions
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• On the Validity of the Law of Mass Action in Three-Dimensional Coagulation Processes
• Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model
• Nonperturbative functional renormalization-group approach to transport in the vicinity of a $(2+1)$-dimensional O($N$)-symmetric quantum critical point
• Ward-constrained melonic renormalization group flow for the rank-four ${\varphi }^6$ tensorial group field theory
• Scaling and Renormalization in two dimensional Quantum Gravity
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Noether symmetry approach in matter-dominated cosmology with variable G and Lambda
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• RG flow equations for the proper-vertices of the background effective average action
• On the renormalization of the bosonized multi-flavor Schwinger model
• Functional renormalization group in the broken symmetry phase: momentum dependence and two-parameter scaling of the self-energy
• A functional renormalization group study of the two dimensional Su-Schrieffer-Heeger-Hubbard model
• The ordered phase of $O(N)$ model within the Non-Perturbative Renormalization Group
• Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Universal behavior of coupled order parameters below three dimensions
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Low energy singularities in the ground state of fermionic superfluids
• Dynamical generation of low-energy couplings from quark-meson fluctuations
• Chiral tricritical point: a new universality class in Dirac systems
• Resummed Kinetic Field Theory: general formalism and linear structure growth from Newtonian particle dynamics
• Disorder-driven quantum transition in relativistic semimetals: functional renormalization via the porous medium equation
• A functional RG equation for the c-function
• Non-equilibrium time evolution of bosons from the functional renormalization group
• Sarma phase in relativistic and non-relativistic systems
• Non-perturbative renormalization-group approach to lattice models
• Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Functional Renormalization of Noncommutative Scalar Field Theory
• Universal scaling of the sigma field and net-protons from Langevin dynamics of model A
• Isotropic Lifshitz critical behavior from the functional renormalization group
• Asymptotically safe dark matter with gauged baryon number
• Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
• Nematic Quantum Criticality Without Order
• Fluctuating vector mesons in analytically continued FRG flow equations
• Analyticity of critical exponents of the $O(N)$ models from nonperturbative renormalization
• Critical exponents in quantum Einstein gravity
• Low-energy properties of two-dimensional quantum triangular antiferromagnets: Non-perturbative renormalization group approach
• Kosterlitz-Thouless signatures in the low-temperature phase of layered three-dimensional systems
• Critical region of the superfluid transition in the BCS-BEC crossover
• Nonperturbative fluctuations and metastability in a simple model: from observables to microscopic theory and back
• Operator product expansion coefficients in the exact renormalization group formalism
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Finite temperature crossovers near quantum tricritical points in metals
• General Computations Without Fixing the Gauge
• Transport coefficients of O(N) scalar field theories close to the critical point
• Structure of the broken phase of the sine-Gordon model using functional renormalization
• Axial anomaly and hadronic properties in a nuclear medium
• Renormalization group, dimer-dimer scattering, and three-body forces
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Thermalization of magnons in yttrium-iron garnet: nonequilibrium functional renormalization group approach
• Universality From Very General Nonperturbative Flow Equations in QCD
• Ab-initio description of excited states of a one-dimensional nuclear matter with the Hohenberg-Kohn-theorem-inspired functional-renormalization-group method
• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
• The renormalization of fluctuating branes, the Galileon and asymptotic safety
• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills
• Renormalized phi^6 model for quantum phase transitions in systems of itinerant fermions
• Some exact results in branching and annihilating random walks
• Real Space Migdal-Kadanoff Renormalisation of Glassy Systems: Recent Results and a Critical Assessment
• Massless fermions in multi-flavor QED_2
• Baryon number probability distribution at finite temperature
• Higgs stability-bound and fermionic dark matter
• Field theoretical approach for signal detection in nearly continuous positive spectra II: Tensorial data
• BRST invariant RG flows
• Critical behavior of the random-field Ising model with long-range interactions in one dimension
• Revisiting the local potential approximation of the exact renormalization group equation
• Towards Functional Flows for Hierarchical Models
• Wilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion
• Self-consistent formulations for stochastic nonlinear neuronal dynamics
• Cosmological Perturbations and the Running Cosmological Constant Model
• Critical Casimir forces from the equation of state of quantum critical systems
• Asymptotically Safe Gravitons in Electroweak Precision Physics
• Alternative flow equation for the functional renormalization group
• Convergence of a renormalization group approach to dimer-dimer scattering
• Heat kernel coefficients on the sphere in any dimension
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Emergent symmetries and coexisting orders in Dirac fermion systems
• Hierarchical Parallelisation of Functional Renormalisation Group Calculations -- hp-fRG
• Microscopic theory of phase transitions in a critical region
• Exact Renormalization Groups as a form of Entropic Dynamics
• Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
• Dimensional reduction and its breakdown in the 3-dimensional long-range random field Ising model
• A rich man's derivation of scaling laws for the Kondo model
• Degeneracy induced scaling of the correlation length for periodic models
• Quantum criticality in itinerant metamagnets
• Classical and Quantum Mechanics via Lie algebras
• More about the Wilsonian analysis on the pionless NEFT
• Indications of isotropic Lifshitz points in four dimensions
• Swiss-cheese cosmologies with variable $G$ and $\Lambda$ from the renormalization group
• Phase Structure and Compactness
• Nonperturbative renormalization-group approach preserving the momentum dependence of correlation functions
• Scale-dependent Planck mass and Higgs VEV from holography and functional renormalization
• Conformal invariance and vector operators in the $O(N)$ model
• Spectral functions and in-medium properties of hadrons
• The Gross-Neveu model at finite temperature at next to leading order in the 1/N expansion
• Interplay of fixed points in scalar models
• Flowing in discrete gravity models and Ward identities: A review
• Application of the functional renormalization group to Bose gases: from linear to hydrodynamic fluctuations
• Cooling Stochastic Quantization with colored noise
• Functional RG approach to the Potts model
• Scheme dependence of asymptotically free solutions
• Thermalization and prethermalization in the soft-wall AdS/QCD model
• Reparameterisation Invariance and RG equations: Extension of the Local Potential Approximation
• Chiral condensate and chemical freeze-out
• The zero-dimensional O(N) vector model as a benchmark for perturbation theory, the large-N expansion and the functional renormalization group
• Topological phase transitions in four dimensions
• Incommensurate antiferromagnetic fluctuations in the two-dimensional Hubbard model
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures
• Fixed point merger in the SU(N) gauge beta functions
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• $c$-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
• On the Renormalization of Theories of a Scalar Chiral Superfield
• Asymptotic freedom in $Z_2$-Yukawa-QCD models
• Free Energy and Equation of State of Ising-like Magnet Near the Critical Point
• Functional renormalization group for multilinear disordered Langevin dynamics I: Formalism and first numerical investigations at equilibrium
• Symmetry breaking and restoration in Lifshitz type theories
• Critical phenomena at the complex tensor ordering phase transition
• The Helmholtz Hierarchy: Phase Space Statistics of Cold Dark Matter
• Twisted bilayer graphene at charge neutrality: competing orders of SU(4) Dirac fermions
• Evidence for a novel shift-symmetric universality class from the functional renormalization group
• Exact flow equation for bound states
• Spontaneous versus explicit replica symmetry breaking in the theory of disordered systems
• On the nature of the Schmid transition in a resistively shunted Josephson junction
• Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group
• Observable consequences of quantum gravity: Can light fermions exist?
• Schwinger-Dyson Renormalization Group
• A new universality class describes Vicsek's flocking phase in physical dimensions
• Fermionic excitations at finite temperature and density
• Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• Critical Casimir forces for O(N) models from functional renormalization
• Summing parquet diagrams using the functional renormalization group: X-ray problem revisited
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Pairing in Asymmetric Many-Fermion Systems: Functional Renormalisation Group Approach
• Crossover phenomena in spin models with medium-range interactions and self-avoiding walks with medium-range jumps
• Exact solutions and residual regulator dependence in functional renormalisation group flows
• Chaos in the Bose-glass phase of a one-dimensional disordered Bose fluid
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Ab initio construction of the energy density functional for electron systems with the functional-renormalization-group-aided density functional theory
• Correlation functions in the Non Perturbative Renormalization Group and field expansion
• Two-parameter scaling of correlation functions near continuous phase transitions
• New applications of the renormalization group method in physics -- a brief introduction
• Critical $O(2)$ field theory near six dimensions beyond one loop
• Phase structure of a three-dimensional Yukawa model
• Efimov physics from the functional renormalization group
• Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field
• Functional and Local Renormalization Groups
• Transport through correlated quantum dots: An investigation using the functional renormalization group
• Phase boundary and finite temperature crossovers of the quantum Ising model in two dimensions
• Is there a Mott-glass phase in a one-dimensional disordered quantum fluid with linearly confining interactions?
• Spin functional renormalization group for the $J_1{J}_2{J}_3$ quantum Heisenberg model
• Signal detection in nearly continuous spectra and symmetry breaking
• Critical spin dynamics of Heisenberg ferromagnets revisited
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• Superuniversal transport near a $(2+1)$-dimensional quantum critical point
• Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group
• Do Instantons Like a Colorful Background?
• Enhancement of field renormalization in scalar theories via functional renormalization group
• Spectral Functions from the Functional Renormalization Group
• Equivalent Fixed-Points in the Effective Average Action Formalism
• Discovering and quantifying nontrivial fixed points in multi-field models
• Static approach to renormalization group analysis of stochastic models with spatially quenched disorder
• Existence and Construction of Exact FRG Flows of a UV-Interacting Scalar Field Theory
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Fermion spectral function in hot strongly interacting matter from the functional renormalization group
• Correlations of conserved charges and QCD phase structure
• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Stability of fixed points and generalized critical behavior in multifield models
• Interplay between chiral dynamics and repulsive interactions
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Same universality class for the critical behavior in and out of equilibrium in a quenched random field
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Renormalization group analysis of competition between distinct order parameters
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Critical line of the ${\Phi }^4$ theory on a simple cubic lattice in the local potential approximation
• Renormalization Flow of Axion Electrodynamics
• Invariant formulation of the Functional Renormalisation Group method for $U(n)\times U(n)$ symmetric matrix models
• Error estimates and specification parameters for functional renormalization
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach
• Chiral condensate and Mott-Anderson freeze-out
• Charge fluctuations in chiral models and the QCD phase transition
• Novel critical phenomena in compressible polar active fluids: Dynamical and Functional Renormalization Group Studies
• Computing First-Passage Times with the Functional Renormalisation Group
• The unpredicted scaling of the one-dimensional Kardar-Parisi-Zhang equation
• Renormalization-Group flow for the field strength in scalar self-interacting theories
• Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group
• Evolution of Critical Correlations at the QCD Phase Transition
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
• Evolutionary intermittency and the QCD critical point
• Asymptotic safety in the dark
• Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $\beta$-Function
• Thermodynamics of Bose gases from functional renormalization with a hydrodynamic low-energy effective action
• Pokrovsky-Talapov Model at finite temperature: a renormalization-group analysis
• Double screening
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Scalar Cosmological Perturbations from Quantum Entanglement within Lorentzian Quantum Gravity
• Fixed Point Structure of Gradient Flow Exact Renormalization Group for Scalar Field Theories
• Effective potential and quantum criticality for imbalanced Fermi mixtures
• Large-$N$ pion scattering at finite temperature: the $f_0(500)$ and chiral restoration
• Resummed mean-field inference for strongly coupled data
• Functional-renormalization-group approach to classical liquids with short-range repulsion: a scheme without repulsive reference system
• Multicritical points of the O(N) scalar theory in $2<d<4$ for large N
• Momentum scale dependence of the net quark number fluctuations near chiral crossover
• Renormalization Group Flow of the Higgs Potential
• Electronic orders near the type-II van Hove singularity in BC${}_3$
• ${\mathbb{Z}}_4$-symmetric perturbations to the XY model from functional renormalization
• Effective average action based approach to correlation functions at finite momenta
• Expansion of the effective action around non-Gaussian theories
• Scaling Laws in the Cosmic Structure and Renormalization Group
• Gauge Invariant Cutoff QED
• Renormalization of the 4PI effective action using the functional renormalization group
• Renormalization of QCD_2
• Wavelet Conditional Renormalization Group
• Scale Dependent Metric and Minimal Length in QEG
• Hamiltonian analogs of combustion engines: a systematic exception to adiabatic decoupling
• QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization
• Universal scaling of conserved charge in the stochastic diffusion dynamics
• Functional renormalization of N scalars with O(N) invariance
• The inviscid fixed point of the multi-dimensional Burgers-KPZ equation
• Renormalization group and Fermi liquid theory for many-nucleon systems
• Stringy Membranes in AdS/CFT
• Critical temperature and Ginzburg region near a quantum critical point in two-dimensional metals
• Benchmarking the nonperturbative functional renormalization group approach on the random elastic manifold model in and out of equilibrium
• Dimensional reduction breakdown and correction to scaling in the random-field Ising model
• FlowPy - a numerical solver for functional renormalization group equations
• Simulating frustrated magnetism with spinor Bose gases
• Stability of chromomagnetic condensation and mass generation for confinement in SU(2) Yang-Mills theory
• Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
• Condensate density of interacting bosons: a functional renormalization group approach
• The random anisotropy model revisited
• A matter-dominated cosmological model with variable $G$ and $\Lambda$. Confrontation of theoretical predictions with observational data
• Hierarchical Reference Theory of critical fluids in disordered porous media
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Universal behaviour of four-boson systems from a functional renormalisation group
• Fermion-induced quantum critical point in the Landau-Devonshire model
• Keldysh functional renormalization group for electronic properties of graphene
• Asymptotic safety in the sine-Gordon model
• The large system asymptotics of persistent currents in mesoscopic quantum rings
• Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
• Renormalization group flow for fermions into antiferromagnetically ordered phases: Method and mean-field models
• Asymptotically free four-fermion interactions and electroweak symmetry breaking
• A stochastic root finding approach: The Homotopy Analysis Method applied to Dyson-Schwinger Equations
• Functional renormalisation group for few-nucleon systems: SU(4) symmetry and its breaking
• Non-perturbative treatment of strongly-interacting fields: insights from liquid theory
• Long-Range and Many-Body Effects in Coagulation Processes
• A Lorentzian renormalisation group equation for gauge theories
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Renormalization group flow equations with full momentum dependence
• Chiral Symmetry Restoration for the large-$N$ pion gas
• Renormalization group analysis of a self-organized critical system: Intrinsic anisotropy vs random environment
• Effective scalar potential in asymptotically safe quantum gravity
• Background Field Functional Renormalization Group for Absorbing State Phase Transitions
• Connection between Chiral Symmetry Restoration and Deconfinement
• A Renormalization-Group Study of Interacting Bose-Einstein condensates: Absence of the Bogoliubov Mode below Four ($T>0$) and Three ($T=0$) Dimensions
• Quantization of chiral antisymmetric tensor fields
• Solving the QCD non-perturbative flow equation as a partial differential equation and its application to the dynamical chiral symmetry breaking
• Vainshtein in the UV and a Wilsonian analysis of derivatively coupled scalars
• Many-body forces and nucleon clustering near the QCD critical point
• Spectral functions from the functional renormalization group at finite temperature and density
• Large-$d$ behavior of the Feynman amplitudes for a just-renormalizable tensorial group field theory
• Response Theory of the Electron-Phonon Coupling
• A comprehensive approach to the physics of mesons
• Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models
• Criticality of the $O(2)$ model with cubic anisotropies from nonperturbative renormalization
• Hydrodynamic collective modes for cold trapped gases
• Center phase transition from matter propagators in (scalar) QCD
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Competing many-body instabilities in two-dimensional dipolar Fermi gases
• Link between New Versions of the Hierarchical Reference Theory of Liquids and of the Non Perturbative Renormalization Group in Statistical Field Theory
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• The dark matter bispectrum from effective viscosity and one-particle irreducible vertices
• Renormalization group for the ${\phi }^4$-theory with long-range interaction and the critical exponent $\eta$ of the Ising model
• Stochastic dynamics for Group Field Theories
• Isotropic Lifshitz Scaling in four dimensions
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• Interplay of topology and geometry in frustrated 2d Heisenberg magnets
• Real-time observables from Euclidean thermal correlation functions
• Regular black hole from a confined spin connection in Poincare gauge gravity
• Four-boson bound states from a functional renormalisation group
• Dimensional reduction and its breakdown in the driven random field O(N) model
• Superfluidity in many fermion systems: Exact renormalisation group treatment
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Cold asymmetrical fermion superfluids in nonperturbative renormalisation group
• Flowing bosonization in the nonperturbative functional renormalization-group approach
• High temperature phase of QCD
• False vacuum decay beyond the quadratic approximation: summation of non-local self-energies
• Entanglement Continuous Unitary Transformations
• Renormalization Group Flow of Hexatic Membranes
• Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
• Optimized regulator for the quantized anharmonic oscillator
• Functional renormalization flow and dynamical chiral symmetry breaking of QCD
• Finite temperature symmetry restoration in the U_L(3)xU_R(3) linear sigma model from a large-n approximation
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Functional renormalisation group approach to shell models of turbulence
• Developing local RG: quantum RG and BFSS
• Quantum-classical transition in the Caldeira-Leggett model
• Quark Confinement and the Renormalization Group
• Nonlinear evolution of density and flow perturbations on a Bjorken background
• On the phase structure of extra-dimensional gauge theories with fermions
• An efficient algorithm simulating a macroscopic system at the critical point
• Gradient Flow Exact Renormalization Group for Scalar Quantum Electrodynamics
• Exact Renormalization Group : A New Method for Blocking the Action
• Nonequilibrium Kosterlitz-Thouless transition in a three-dimensional driven disordered system
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• (Non) Gauge Invariance of Wilsonian Effective Actions in (Supersymmetric) Gauge Theories : A Critical Discussion
• Conformal invariance constraints in the $O(N)$ models: a first study within the nonperturbative renormalization group
• Functional renormalization-group approach to the Pokrovsky-Talapov model via modified massive Thirring fermion model
• Evaluating Critical Exponents in the Optimized Perturbation Theory
• The Universal Equation of State near the Critical Point of QCD
• On the low-energy spectrum of an SU(2) gauge theory with dynamical fermions
• Incompleteness of the large-$N$ analysis of the $O(N)$ models: Nonperturbative cuspy fixed points and their nontrivial homotopy at finite $N$
• An atomic bright vector soliton as an active particle
• Functional renormalization group approach to color superconducting phase transition
• Non-linear Matter Spectrum for a Variable Equation of State
• Phonon renormalization and Pomeranchuk instability in the Holstein model
• Dynamical solution of the strong CP problem within QCD ?
• Corrections to scaling in the 3D Ising model: a comparison between MC and MCRG results
• Dynamical Selection of Critical Exponents
• Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model
• Scaling violation and the magnetic equation of state in chiral models
• A new functional RG flow: regulator-sourced 2PI versus average 1PI
• Infrared behavior of interacting bosons at zero temperature
• Scaling solutions for asymptotically free quantum gravity
• Functional renormalization of QCD in $1+1$ dimensions: four-fermion interactions from quark-gluon dynamics
• Non-commutativity from exact renormalization group dualities
• Generalized thermodynamics of an autonomous micro-engine
• Superfluidity within Exact Renormalisation Group approach
• Capillary-wave models and the effective average action scheme of functional renormalization group
• The equilibrium and dynamical cumulants of QCD chiral order parameter with parametric Landau free energy
• Self-energy effects in the Polchinski and Wick-ordered renormalization-group approaches
• Non-equilibrium cumulants within model A from crossover to first-order phase transition side
• Superfluid--Bose-glass transition in a system of disordered bosons with long-range hopping in one dimension
• Tunable tachyon mass in the PT-broken massive Thirring model
• Functional RG flow of the effective Hamiltonian action
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Phase Structure and Dynamics of QCD-- A Functional Perspective
• Quantum field theories of relativistic Luttinger fermions
• Fluctuation Effects in the Pair-Annihilation Process with Lévy Dynamics
• Critical line of the ${\Phi }^4$ scalar field theory on a 4D cubic lattice in the local potential approximation
• Quantum interface unbinding transitions
• Vacuum Energy and Renormalization of the Field-Independent Term
• Comment on "The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization"
• Longitudinal and transverse static spin fluctuations in layered ferro- and antiferromagnets
• Determining wave equations in holographic QCD from Wilsonian renormalization group
• Renormalization, isogenies and rational symmetries of differential equations
• Physics-informed neural networks for solving functional renormalization group on a lattice
• Functional renormalisation group approach to the finite-temperature Bose polaron
• Generalized Hertz action and quantum criticality of two-dimensional Fermi systems
• Functional Renormalisation Group for Brownian Motion I: The Effective Equations of Motion
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• Renormalization Group-Improved Gravitational Action: A Lagrangian Framework
• Large time effective kinetics $\beta$-functions for quantum (2+p)-spin glass
• Functional renormalization group study of a four-fermion model with $CP$ violation
• Kinetics of the chiral phase transition in a quark-meson $\sigma$-model
• Aspects of quantum gravity
• Chiral symmetry restoration in QC_2D from effective model using the functional renormalization group
• Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation
• Exact renormalization group and many-fermion systems
• Frustrated magnets in three dimensions: a nonperturbative approach
• Small numerators canceling small denominators of the high-temperature scaling variables: a systematic explanation in arbitrary dimensions
• Universal Crossover in the Three-Channel Charge Kondo Model at High Transparency
• Soft quantum vibrations of PT-symmetric nonlinear ion chain
• Coarse-graining in time with the Functional Renormalisation Group: Relaxation in Brownian Motion
• On the role of the Vacuum Energy in the Thermodynamics of Neutron Matter
• Complex singularities of the critical potential in the large-N limit
• Spontaneously broken ground states of the U(n)_L x U(n)_R linear sigma model at large n
• A Renormalization-Group Study of Interacting Bose-Einstein Condensates: II. Anomalous Dimension $\eta$ for $d\lesssim 4$ at Finite Temperatures
• Nonperturbative Renormalization Group for the Landau-de Gennes Model
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Path integral quantization of scalar fluctuations above a kink
• On the foundations of thermodynamics
• On the effective action in presence of local non-linear constraints
• The influence of fluctuations on thermodynamics near chiral phase transition
• Some aspects of the nonperturbative renormalization of the phi^4 model
• Exact effective action for the O(N) vector model in the large N limit
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
• A fixed point can hide another one: the nonperturbative behavior of the tetracritical fixed point of the O($N$) models at large $N$
• Renormalization Flow of Nonlinear Electrodynamics
• Multiresolution quantum field theory in light-front coordinates
• One-loop functional RG flow of scalar theory with electroweak symmetry
• Perturbative versus Non-Perturbative Renormalization
• Functional renormalization group for extremely correlated electrons
• Effective medium approach in the renormalization group theory of phase transitions
• A compared analysis of the susceptibility in the O(N) theory
• Full and unbiased solution of the Dyson-Schwinger equation in the functional integro-differential representation
• Dynamical and finite-size effects on the criterion of first-order phase transition
• Wavelet regularization of Euclidean QED
• Non-Fermi liquid fixed point of the dissipative Yukawa-Sachdev-Ye-Kitaev model
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Nonperturbative treatment of a quenched Langevin field theory
• Self-consistent renormalization group approach to continuous phase transitions in alloys. Application to ordering in $\beta$-brass
• Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in $O(N)$ models
• The $O(4)$ ${\varphi }^4$ model as an effective light meson theory: A lattice-continuum comparison
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• On the breakdown of dimensional reduction and supersymmetry in random-field models
• Enhancement of axial anomaly effects in hot two-color QCD: FRG approach in the linear sigma model
• Charged and neutral fixed points in the O(N)+O(N)-model with Abelian gauge fields
• Reformulations of Yang-Mills Theories with Space-time Tensor Fields
• Functional renormalization group without functional integrals: implementing Hilbert space projections for strongly correlated electrons via Hubbard X-operators
• Renormalization of the bilocal sine-Gordon model
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Gauge invariant regularisation in the ERG approach
• On Functional and Holographic Renormalization Group Methods in Stochastic Theory of Turbulence
• Functional renormalization group for p=2 like glassy matrices in the planar approximation: I. Vertex expansion at equilibrium
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Universality in the exact renormalization group: comparison to perturbation theory
• Scaling Transformation for Nonlocal Interactions
• Scaling Behaviors in Active Model B+ via the Functional Renormalization Group
• Explicit construction of the energy-momentum tensor in the large N limit
• The non-perturbative sides of the Kardar-Parisi-Zhang equation
• Bad Metal Behavior and Lifshitz Transition of a Nagaoka Ferromagnet
• RG studies of scalar-field models of long-range interactions
• Non-perturbative Treatments of the Bosonic String and the Axion with Cosmological Implications
• Unified Functional-Holographic Theory of the QCD Critical End Point
• An intriguing connection between Pisarski's fixed point and (2+3)-spin glasses
• Relativistic BEC extracted from a complex FRG flow equation
• Quantitative functional renormalization for three-dimensional quantum Heisenberg models
• Universal scaling dimensions for highly irrelevant operators in the Local Potential Approximation
• A Lindbladian for exact renormalization of density operators in QFT
• Critical behaviour of a 3D Ising-like system in the ρ^6 model approximation: Role of the correction for the potential averaging
• On the contribution of different coupling constants in the infrared regime of Yang-Mills theory: a Curci-Ferrari approach
• The type of the phase transition and coupling values in λϕ^4 model
• Anomalous higher order Ward identities in tensorial group field theories without closure constraint
• Momentum-dependence in the infinitesimal Wilsonian renormalization group
• Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations
• Renormalisation group flow of the Jaynes-Cummings model
• On the wave function renormalization for Wilson actions and their 1PI actions
• Dimensional reduction in driven disordered systems
• Occupation numbers from functional integral
• Vertex functions and their flow equations from the 2PI effective action
• Intermediate effective interactions and dynamical fermion mass generation of QCD
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Critical Exponents from Dimensional Variation
• Time-translation invariance symmetry breaking hidden by finite-scale singularities
• Functional renormalization group for $p=2$ like glassy matrices in the planar approximation: II. Ward identities method in the deep IR
• Generalized Kadanoff-Baym relation in nonequilibrium quenched models
• Superfluidity in multicomponent fermions via the functional renormalization group
• Functional Renormalization Group Approach for Signal Detection
• Universal amplitudes ratios for critical aging via functional renormalization group
• Critical pairing fluctuations in the normal state of a superconductor: pseudogap and quasi-particle damping
• Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality
• Semiclassical partition function for the double-well potential
• Renormalisation Group Flow and Kaon Condensation
• Smoothing of Singular Legendre Transforms in Renormalization Group Flows
• Some Aspects of the Canonical Analysis of Reuter-Weyer RG Improved Einstein-Hilbert Action
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Critical behavior of isotropic systems with strong dipole-dipole interaction from the functional renormalization group
• Higher-derivative four-dimensional sine-Gordon model
• Exact renormalization group equation for lattice Ginzburg-Landau models adapted to the solution in the local potential approximation
• Phase diagram of Model C in the parametric space of order parameter and space dimensions
• A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions
• Tunnelling matrix elements with antiferromagnetic Gutzwiller wave functions
• Functional Renormalization Analytically Continued
• Are there any Landau poles in wavelet-based quantum field theory?
• Naturalness, Wilsonian Renormalization, and "Fundamental Parameters" in Quantum Field Theory
• Chemical-potential flow equations for graphene with Coulomb interactions
• The quantum $p$-spin renormalization group in the large $N$ limit as a benchmark for functional renormalization group
• Effective Field Theory with a Variable Ultraviolet Cutoff
• Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes
• Exact generating function of a zero-dimensional supersymmetric non-linear sigma model
• FRG analysis for a relativistic BEC in arbitrary spatial dimensions
• Operator product expansion coefficients from the nonperturbative functional renormalization group
• Fluctuation-induced first-order superfluid transition in unitary $\mathrm{SU}(N)$ Fermi gases
• Quantum criticality and non-Fermi liquids: the Wilsonian renormalization group perspective
• Functional renormalization group approach to phonon modified criticality: anomalous dimension of strain and non-analytic corrections to Hooke's law
• Unveiling the different scaling regimes of the one-dimensional Kardar-Parisi-Zhang--Burgers equation using the functional renormalisation group
• Functional Renormalization for Signal Detection: Dimensional Analysis and Dimensional Phase Transition for Nearly Continuous Spectra Effective Field Theory
• Low-temperature behavior of the $O(N)$ models below two dimensions
• A misleading Wilsonian fixed point
• One-dimensional long-range Ising model: two (almost) equivalent approximations
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
• Renormalization group approach to the elastic properties of graphene bilayers
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• Gaussian Information Bottleneck and the Non-Perturbative Renormalization Group
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
• Weak coupling theory of nickel-based 327 superconductors
• Nonperturbative Renormalisation Group: Applications to the few and many-body systems
• Asymptotically Safe Gravity-Fermion systems on curved backgrounds
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature
• Spin functional renormalization group for dimerized quantum spin systems
• BRST, Ward identities, gauge dependence, and a functional renormalization group
• Benchmarking regulator-sourced 2PI and average 1PI flow equations in zero dimensions
• Infrared behavior of interacting bosons at zero temperature