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 (164)

• Exact evolution equation for the effective potential
• 2D Gravity and Random Matrices
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Diquark Bose Condensates in High Density Matter and Instantons
• Critical Exponents of the N-vector model
• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• On the Phase Diagram of QCD
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Critical Exponents, Hyperscaling and Universal Amplitude Ratios for Two- and Three-Dimensional Self-Avoiding Walks
• Critical Exponents from the Effective Average Action
• Oscillons: Resonant Configurations During Bubble Collapse
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Flow Equations for N Point Functions and Bound States
• Derivative Expansion of the Exact Renormalization Group
• Pseudo-Stable Bubbles
• The universality class of the electroweak theory
• Emergence of Coherent Long Wavelength Oscillations After a Quench: Application to QCD
• 3D Ising Model:The Scaling Equation of State
• Where the electroweak phase transition ends
• Flow Equations and BRS Invariance for Yang-Mills Theories
• On Truncations of the Exact Renormalization Group
• Effective Action for the Quark-Meson Model
• Phase transitions in quantum chromodynamics
• Finite size effects on measures of critical exponents in d=3 O(N) models
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• Perturbative renormalization and infrared finiteness in the Wilson renormalization group: the massless scalar case
• Critical Exponents of the 3D Ising Universality Class From Finite Size Scaling With Standard and Improved Actions
• N-vector spin models on the sc and the bcc lattices: a study of the critical behavior of the susceptibility and of the correlation length by high temperature series extended to order beta^{21}
• Scheme Independence and the Exact Renormalization Group
• Two flavor chiral phase transition from nonperturbative flow equations
• Light Quarks in the Instanton Vacuum at Finite Baryon Density
• Flow Equations for Yang-Mills Theories in General Axial Gauges
• High precision Monte Carlo study of the 3D XY-universality class
• Phase Diagram of Superconductors from Non-Perturbative Flow Equations
• Derivative expansion of the renormalization group in O(N) scalar field theory
• Gauge Invariance, the Quantum Action Principle, and the Renormalization Group
• Analytical Solutions of Exact Renormalization Group Equations
• Gluon Condensation in Nonperturbative Flow Equations
• A Monte Carlo study of leading order scaling corrections of phi^4 theory on a three dimensional lattice
• Kosterlitz-Thouless Phase Transition In The Two Dimensional Linear Sigma Model
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Instability Induced Renormalization
• Three dimensional massive scalar field theory and the derivative expansion of the renormalization group
• Renormalization Group Flow and Equation of State of Quarks and Mesons
• Vacuum Decay in Theories with Symmetry Breaking by Radiative Corrections
• Solving non-perturbative flow equations
• The Renormalization Group and Two Dimensional Multicritical Effective Scalar Field Theory
• Mapping the QCD Phase Diagram
• Ward identities and Wilson renormalization group for QED
• Evolution Equations for the Quark-Meson Transition
• Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
• The Heavy Quark Potential from Wilson's Exact Renormalization Group
• Large N and the renormalization group
• Two loop results from one loop computations and non perturbative solutions of exact evolution equations
• Critical equation of state from the average action
• High-precision determination of the critical exponent gamma for self-avoiding walks
• Universal Amplitude Ratios in the 3D Ising Model
• Rapidly Converging Truncation Scheme of the Exact Renormalization Group
• One-Loop Corrections to Bubble Nucleation Rate at Finite Temperature
• Goldstone-mode effects and scaling function for the three-dimensional O(4) model
• O(N) models within the local potential approximation
• The Large N Limit and the High Temperature Phase Transition for the ϕ^4 Theory
• Optimization of Renormalization Group Flow
• The effectiveness of the local potential approximation in the Wegner-Houghton renormalization group
• Gauge Boson Masses in the 3-d, SU(2) Gauge-Higgs Model
• High temperature critical O(N) field models by LCE series
• On the Convergence of the Expansion of Renormalization Group Flow Equation
• A Consistent Calculation of Bubble-Nucleation Rates
• Coarse graining and first order phase transitions
• Momentum Scale Expansion of Sharp Cutoff Flow Equations
• Renormalization of the Topological Charge in Yang-Mills Theory
• Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory
• Convergence of derivative expansions of the renormalization group
• Renormalizability of Effective Scalar Field Theory
• Equation of state and coarse grained free energy for matrix models
• High Temperature Phase Transitions without Infrared Divergences
• Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behaviors in QED
• On the Evaluation of Thermal Corrections to False Vacuum Decay Rates
• Dynamics of Weak First Order Phase Transitions
• PHASE TRANSITION OF N-COMPONENT SUPERCONDUCTORS
• BRS symmetry from renormalization group flow
• Critical Bubbles and Fluctuations at the Electroweak Phase Transition
• The Electroweak Phase Transition through the Renormalization Group
• Effective Quark Interactions and QCD-Propagators
• Critical Exponents without the Epsilon Expansion
• Scaling functions for O(4) in three dimensions
• Environmentally Friendly Renormalization
• How sharp is the chiral crossover phenomenon for realistic meson masses?
• The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17
• Renormalization Group Approach to Field Theory at Finite Temperature
• The Strongly Interacting Electroweak Phase Transition
• Exact Flow Equations and the U(1)-Problem
• High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion
• Scheme Independence at First Order Phase Transitions and the Renormalisation Group
• Gradient Flows from an Approximation to the Exact Renormalization Group
• Quantum Liouville Field Theory as Solution of a Flow Equation
• Metastability in Two Dimensions and the Effective Potential
• Coleman-Weinberg Phase Transition in Two-Scalar Models
• Fluctuation corrections to bubble nucleation
• High Temperature Phase Transition in Two-Scalar Theories
• Quantum and Thermal Fluctuations in Field Theory
• Radiatively-Induced First-Order Phase Transitions: The Necessity of the Renormalization Group
• Wilson Renormalization Group Analysis of Theories with Scalars and Fermions
• Scalar-gauge dynamics in (2+1) dimensions at small and large scalar couplings
• Effective Potential for Scalar Field in Three Dimensions: Ising Model in the Ferromagnetic Phase
• Non-Compact Pure Gauge QED in 3D is Free
• The Chiral Phase Transition at High Baryon Density from Nonperturbative Flow Equations
• Equation of state near the endpoint of the critical line
• Non-equilibrium evolution of a `Tsunami': Dynamical Symmetry Breaking
• Matching numerical simulations to continuum field theories: A lattice renormalization study
• Quark Matter 99 Summary: Hadronic Signals
• Critical Behavior in the Electroweak Phase Transition
• The Region of Validity of Homogeneous Nucleation Theory
• Beta function and infrared renormalons in the exact Wilson renormalization group in Yang-Mills theory
• Kinetics of Sub-Critical Bubbles and the Electroweak Transition
• Analysis of the Wilsonian Effective Potentials in Dynamical Chiral Symmetry Breaking
• Properties of derivative expansion approximations to the renormalization group
• Non-Perturbative Analysis of the Coleman-Weinberg Phase Transition
• The Ward Identity from the Background Field Dependence of the Effective Action
• Dimensional Crossover and Effective Exponents
• Two loop results from the derivative expansion of the blocked action
• Wilson Renormalization Group for Supersymmetric Gauge Theories and Gauge Anomalies
• On the QCD Phase Transition at Finite Baryon Density
• Wegner-Houghton equation and derivative expansion
• Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry
• Bubble-nucleation rates for radiatively induced first-order phase transitions
• Quark Matter '99 --- Theoretical Summary: What Next?
• Bubble-nucleation rates for cosmological phase transitions
• Integrating out Gluons in Flow Equations
• Modeling Thermal Fluctuations: Phase Mixing and Percolation
• Non-perturbative renormalization group approach for a scalar theory in higher-derivative gravity
• Renormalization Group Flow Equation at Finite Density
• Exact renormalization group study of fermionic theories
• Confinement, Monopoles and Wilsonian Effective Action
• Effective linear meson model
• Axial anomalies in gauge theory by exact renormalization group method
• Application of the Heat Kernel Method to the Constituent Quark Model at Finite Temperature
• Dynamical Viscosity of Nucleating Bubbles
• Chiral Symmetry Restoration at Finite Temperature in the Linear Sigma--Model
• Nonperturbative Renormalization Group and Renormalizability of Gauged NJL Model
• Monte Carlo computation of the effective potential for the three dimensional Ising system
• Field Strength Correlator and an Infrared Fixed Point of the Wilsonian Exact Renormalization Group Equations
• Testing nucleation theory in two dimensions
• Renormalization-group study of weakly first-order phase transitions
• Tunneling and Nucleation Rate in the (λϕ^4/4! + σϕ^6/6!)_3 Model
• Critical Temperature and Amplitude Ratios from a Finite-Temperature Renormalization Group
• Chiral gauge theories and anomalies in the Wilson renormalization group approach
• Quark masses from the linear meson model
• Hard-Soft Renormalization and the Exact Renormalization Group
• Systematic Resummed Perturbation Theory
• Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group
• The Chiral Phase Transition in QCD: Critical Phenomena and Long Wavelength Pion Oscillations
• The Role of Fermions in Bubble Nucleation
• Strong-coupling expansions for chiral models of electroweak symmetry breaking
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• Comparison of Renormalization-Group and Lattice Studies of the Electroweak Phase Transition
• The Thermal Renormalization Group for Fermions, Universality, and the Chiral Phase-Transition
• Flow of the Coarse Grained Free Energy for Crossover Phenomena
• Fluctuation Induced First Order Phase Transitions
• The Wilson Renormalization Group Approach of the Principal Chiral Model around Two Dimensions

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