Critical Exponents of the N-vector model

Abstract

Recently the series for two RG functions (corresponding to the anomalous dimensions of the fields phi and phi^2) of the 3D phi^4 field theory have been extended to next order (seven loops) by Murray and Nickel. We examine here the influence of these additional terms on the estimates of critical exponents of the N-vector model, using some new ideas in the context of the Borel summation techniques. The estimates have slightly changed, but remain within errors of the previous evaluation. Exponents like eta (related to the field anomalous dimension), which were poorly determined in the previous evaluation of Le Guillou--Zinn-Justin, have seen their apparent errors significantly decrease. More importantly, perhaps, summation errors are better determined. The change in exponents affects the recently determined ratios of amplitudes and we report the corresponding new values. Finally, because an error has been discovered in the last order of the published epsilon=4-d expansions (order epsilon^5), we have also reanalyzed the determination of exponents from the epsilon-expansion. The conclusion is that the general agreement between epsilon-expansion and 3D series has improved with respect to Le Guillou--Zinn-Justin.

TeX Files, 27 pages +2 figures; Some values are changed; references updated

References in corpus (6)

• Addendum-erratum to: ``Nonasymptotic critical behavior from field theory at d=3. II. The ordered-phase case. Phys. Rev. B35, 3585 (1987)
• Four-point renormalized coupling constant and Callan-Symanzik beta-function in O(N) models
• Finite-size scaling in thin Fe/Ir(100) layers
• Universal sextic effective interaction at criticality
• Universal Amplitude Ratios in the 3D Ising Model
• Monte Carlo Renormalization Group calculation in $\lambda {\varphi }_3^4$

Cited by in corpus (471)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The nonperturbative functional renormalization group and its applications
• Keldysh Field Theory for Driven Open Quantum Systems
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Exact Renormalization Group Equations. An Introductory Review
• Critical behavior of the three-dimensional XY universality class
• A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
• The critical exponents of the superfluid transition in He4
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Polymers with spatial or topological constraints: theoretical and computational results
• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• 50 Years of Quantum Chromodynamics
• Accurate estimate of the critical exponent $\nu$ for self-avoiding walks via a fast implementation of the pivot algorithm
• Nonperturbative renormalization group approach to frustrated magnets
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Optimization of the derivative expansion in the nonperturbative renormalization group
• Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
• A Mellin space approach to the conformal bootstrap
• Nonperturbative renormalization group approach to the Ising model: a derivative expansion at order ${\partial }^4$
• Universality class of criticality in the restricted primitive model electrolyte
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• Specific Heat of Liquid Helium in Zero Gravity very near the Lambda Point
• Conformal Bootstrap in Mellin Space
• Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Carving out OPE space and precise $O(2)$ model critical exponents
• Using Higher Moments of Fluctuations and their Ratios in the Search for the QCD Critical Point
• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• On the definition of a unique effective temperature for non-equilibrium critical systems
• The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
• Conformal Field Theories in Fractional Dimensions
• New quantum phase transitions in the two-dimensional J1-J2 model
• From Useful Algorithms for Slowly Convergent Series to Physical Predictions Based on Divergent Perturbative Expansions
• A Cheap Alternative to the Lattice?
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Relevance of the axial anomaly at the finite-temperature chiral transition in QCD
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Critical Exponents of the 3D Ising Universality Class From Finite Size Scaling With Standard and Improved Actions
• Precise determination of critical exponents and equation of state by field theory methods
• Convergence of Non-Perturbative Approximations to the Renormalization Group
• What is the length of a knot in a polymer?
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
• Bootstrapping Heisenberg Magnets and their Cubic Instability
• Eliminating leading corrections to scaling in the 3-dimensional O(N)-symmetric phi^4 model: N=3 and 4
• Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
• Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation
• Ising exponents from the functional renormalisation group
• Monte Carlo study of an improved clock model in three dimensions
• Precision calculation of critical exponents in the $O(N)$ universality classes with the nonperturbative renormalization group
• Seven-Loop Critical Exponents from Strong-Coupling phi^4-Theory in Three Dimensions
• High precision Monte Carlo study of the 3D XY-universality class
• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Randomly dilute spin models: a six-loop field-theoretic study
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Non-perturbative renormalization group preserving full-momentum dependence: implementation and quantitative evaluation
• Probability distribution of the order parameter for the 3D Ising model universality class: a high precision Monte Carlo study
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• On the nature of the finite-temperature transition in QCD
• A Monte Carlo study of leading order scaling corrections of phi^4 theory on a three dimensional lattice
• Critical universality and hyperscaling revisited for Ising models of general spin using extended high-temperature series
• Freezing and Collapse of Flexible Polymers on Regular Lattices in Three Dimensions
• Coherent and dissipative dynamics at quantum phase transitions
• Solutions of renormalization group flow equations with full momentum dependence
• Critical behavior of O(2)xO(N) symmetric models
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• Pulling Knotted Polymers
• High-precision estimate of the hydrodynamic radius for self-avoiding walks
• Critical behavior of the restricted primitive model revisited
• Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap
• Surface and bulk transitions in three-dimensional O(n) models
• Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)
• The Nature of Asymmetry in Fluid Criticality
• QCD at finite temperature and density within the fRG approach: An overview
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• The critical O(N) CFT: Methods and conformal data
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Five loop renormalization of ${\varphi }^3$ theory with applications to the Lee-Yang edge singularity and percolation theory
• The Cluster Processor: New Results
• Critical behavior of Dirac fermions from perturbative renormalization
• Effective and Asymptotic Critical Exponents of Weakly Diluted Quenched Ising Model: 3d Approach Versus ${\epsilon }^{1/2}$-Expansion
• Chiral Susceptibility in (2+1)-flavour QCD
• Water in nanopores. II. Liquid-vapour phase transition near hydrophobic surfaces
• On the size of knots in ring polymers
• Monte Carlo simulation of O(2) phi^4 field theory in three dimensions
• High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class
• Universality class of 3D site-diluted and bond-diluted Ising systems
• Bond dilution in the 3D Ising model: a Monte Carlo study
• Non-perturbative Approach to Critical Dynamics
• Physical Resurgent Extrapolation
• Influence of long-range interactions on the critical behavior of the Ising model
• The scaling functions of the free energy density and its derivatives for the 3d O(4) model
• Summation of Power Series by Self-Similar Factor Approximants
• Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
• Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points
• Fermion-induced quantum criticality in two-dimensional Dirac semimetals: Non-perturbative flow equations, fixed points and critical exponents
• Five-loop renormalization-group expansions for the three-dimensional n-vector cubic model and critical exponents for impure Ising systems
• Renormalized couplings and scaling correction amplitudes in the N-vector spin models on the sc and the bcc lattices
• Monte Carlo study of a generalized icosahedral model on the simple cubic lattice
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Fast Summation of Divergent Series and Resurgent Transseries in Quantum Field Theories from Meijer-G Approximants
• Non-analyticity of the Callan-Symanzik beta-function of two-dimensional O(N) model
• Estimation of critical behavior from the density of states in Classical Statistical Models
• Pseudo--epsilon expansion of six--loop renormalization group functions of an anisotropic cubic model
• Anomalous quantum-critical scaling corrections in two-dimensional antiferromagnets
• High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
• On critical exponents without Feynman diagrams
• Self-energy and critical temperature of weakly interacting bosons
• Critical Casimir forces for Ising films with variable boundary fields
• Divergent Perturbation Series
• Fixed point stability and decay of correlations
• Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
• Polymers in long-range-correlated disorder
• Proper time regulator and Renormalization Group flow
• Lattice Abelian-Higgs model with noncompact gauge fields
• Scale-free Monte Carlo method for calculating the critical exponent $\gamma$ of self-avoiding walks
• Frequency regulators for the nonperturbative renormalization group: A general study and the model A as a benchmark
• Crossover critical behavior in the three-dimensional Ising model
• Yang-Yang Anomalies and Coexistence Diameters: Simulation of Asymmetric Fluids
• Infrared behavior in systems with a broken continuous symmetry: classical O(N) model vs interacting bosons
• Universal amplitude ratios in the 3D Ising Universality Class
• Stability of a cubic fixed point in three dimensions. Critical exponents for generic N
• Random Field Driven Spatial Complexity at the Mott Transition in VO2
• Confined polymers in the extended de Gennes regime
• Excess free energy and Casimir forces in systems with long-range interactions of van-der-Waals type: General considerations and exact spherical-model results
• Universal properties of knotted polymer rings
• Ferrimagnetism and compensation points in a decorated 3D Ising models
• Classical-to-critical crossovers from field theory
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Spin dynamics simulation of the three-dimensional XY model: Structure factor and transport properties
• About the relevance of the fixed dimension perturbative approach to frustrated magnets in two and three dimensions
• Monte Carlo studies of three-dimensional O(1) and O(4) \boldmath{${\varphi }^4$} theory related to BEC phase transition temperatures
• Cluster representations and the Wolff algorithm in arbitrary external fields
• Two-particle decay and quantum criticality in dimerized antiferromagnets
• Extension to order ${\beta }^{23}$ of the high-temperature expansions for the spin-1/2 Ising model on the simple-cubic and the body-centered-cubic lattices
• 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
• Multicomponent compact Abelian-Higgs lattice models
• Scaling Exponents for Lattice Quantum Gravity in Four Dimensions
• Fractal dimension of critical curves in the $O(n)$-symmetric ${\varphi }^4$-model and crossover exponent at 6-loop order: Loop-erased random walks, self-avoiding walks, Ising, XY and Heisenberg models
• Effective critical behaviour of diluted Heisenberg-like magnets
• Numerical equation of state and other scaling functions from an improved three-dimensional Ising model
• Critical specific heats of the N-vector spin models on the sc and the bcc lattices
• The Calculation of Critical Amplitudes in SU(2) Lattice Gauge Theory
• Finite-Size Scaling in the transverse Ising Model on a Square Lattice
• Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
• Critical exponents for long-range O(n) models below the upper critical dimension
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Functional perturbative RG and CFT data in the $\epsilon$-expansion
• Critical slowing down near the multiferroic phase transition in MnWO${}_4$
• The effective potential of N-vector models: a field-theoretic study to O(ε^3)
• Critical behavior of the QED${}_3$-Gross-Neveu-Yukawa model at four loops
• High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion
• Universality of the critical point mapping between Ising model and QCD at small quark mass
• Parallel multicanonical study of the three-dimensional Blume-Capel model
• The 3-D O(4) universality class and the phase transition in two-flavor QCD
• Five-loop epsilon expansion for U(n)xU(m) models: finite-temperature phase transition in light QCD
• Entropy loss in long-distance DNA looping
• Critical structure factors of bilinear fields in O(N)-vector models
• Non Perturbative Renormalization Group, momentum dependence of $n$-point functions and the transition temperature of the weakly interacting Bose gas
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• Field theory of bi- and tetracritical points: Statics
• Optimization of field-dependent nonperturbative renormalization group flows
• Critical behavior of weakly interacting bosons: A functional renormalization group approach
• Line of fixed points in a bosonic tensor model
• Leading Order Anomalous Dimensions at the Wilson-Fisher Fixed Point from CFT
• Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation
• Continuous demixing at liquid-vapor coexistence in a symmetrical binary fluid mixture
• Critical Exponents of the Statistical Multifragmentation Model
• Criterion for Dominance of Directional over Size Fluctuations in Destroying Order
• Singular Coexistence-curve Diameters: Experiments and Simulations
• The critical equation of state of three-dimensional XY systems
• Pairing correlations across the superfluid phase transition in the unitary Fermi gas
• Three-dimensional ferromagnetic CP(N-1) models
• Ising model on 3D random lattices: A Monte Carlo study
• Higher-charge three-dimensional compact lattice Abelian-Higgs models
• The fate of Parisi-Sourlas supersymmetry in Random Field models
• Scaling functions for the O(4)-model in d=3 dimensions
• A Monte Carlo study of surface critical phenomena: The special point
• Three-dimensional antiferromagnetic CP(N-1) models
• Conformal invariance in the nonperturbative renormalization group: a rationale for choosing the regulator
• Multicritical point of the three-dimensional Z_2 gauge Higgs model
• Critical Dynamics of Singlet Excitations in a Frustrated Spin System
• Bound states of the ${\varphi }^4$ model via the nonperturbative renormalization group
• Critical Casimir Forces for Films with Bulk Ordering Fields
• Critical adsorption near edges
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Critical structure factor in Ising systems
• Universal amplitude ratios from numerical studies of the three-dimensional O(2) model
• Universal critical coupling constants for the three-dimensional n-vector model from field theory
• Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach
• Surface critical behavior of fluids: Lennard-Jones fluid near weakly attractive substrate
• Long-range multi-scalar models at three loops
• Profile and width of rough interfaces
• Randomly dilute spin models with cubic symmetry
• Thermodynamic crossovers in supercritical fluids
• Critical Ising Model in Varying Dimension by Conformal Bootstrap
• Conformal bootstrap for percolation and polymers
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice
• Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensional O(N) vector models
• The Wilson-Polchinski exact renormalization group equation
• Critical exponents predicted by grouping of Feynman diagrams in phi^4 model
• Where two fractals meet: the scaling of a self-avoiding walk on a percolation cluster
• Scaling behavior of self-avoiding walks on percolation clusters
• Surface scaling behavior of isotropic Heisenberg systems: Critical exponents, structure factor, and profiles
• Theory and Satellite Experiment for Critical Exponent alpha of lambda-Transition in Superfluid Helium
• Wheeler-DeWitt Equation in 2 + 1 Dimensions
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• Vanishing Beta Function curves from the Functional Renormalisation Group
• The dynamic critical exponent $z$ for 2d and 3d Ising models from five-loop $\epsilon$ expansion
• Estimate of the Critical Exponents from the Field-Theoretical Renormalization Group: Mathematical Sense of the "Standard Values"
• Universality in disordered systems: The case of the three-dimensional random-bond Ising model
• Gentle introduction to rigorous Renormalization Group: a worked fermionic example
• Scaling of demixing curves and crossover from critical to tricritical behavior in polymer solutions
• Finite size dependence of scaling functions of the three-dimensional O(4) model in an external field
• New Algorithm of the Finite Lattice Method for the High-temperature Expansion of the Ising Model in Three Dimensions
• Exact Sequence Analysis for Three-Dimensional HP Lattice Proteins
• The entropic cost to tie a knot
• Invaded cluster simulations of the XY model in two and three dimensions
• Models of competitive learning: complex dynamics, intermittent conversions and oscillatory coarsening
• Tetracritical behavior in strongly interacting theories
• Critical dynamics of singlet and triplet excitations in strongly frustrated spin systems
• A Monte Carlo study of the three-dimensional XY universality class:Universal amplitude ratios
• Cubic fixed point in three dimensions: Monte Carlo simulations of the ${\varphi }^4$ model on the lattice
• Critical behavior of magnetic systems with extended impurities in general dimensions
• Dzyaloshinsky-Moriya-Induced Order in the Spin-Liquid Phase of the S=1/2 Pyrochlore Antiferromagnet
• The critical equation of state of the three-dimensional O(N) universality class: N>4
• Crossover behavior in three-dimensional dilute spin systems
• Walking on fractals: diffusion and self-avoiding walks on percolation clusters
• Shape of crossover between mean-field and asymptotic critical behavior in a three-dimensional Ising lattice
• Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields
• Polymers critical point originates Brownian non-Gaussian diffusion
• Lattice gauge theories in the presence of a linear gauge-symmetry breaking
• Non-Perturbative Renormalization Group calculation of the scalar self-energy
• Intra-chain correlation functions and shapes of homopolymers with different architectures in dilute solution
• Leading order CFT analysis of multi-scalar theories in d>2
• End-to-end distribution function for dilute polymers
• Three-dimensional $O(N)$-invariant ${\varphi }^4$ models at criticality for $N\ge 4$
• Calculation of critical exponents by self-similar factor approximants
• Exactly Solvable Models: The Road Towards a Rigorous Treatment of Phase Transitions in Finite Systems
• Criticality of O(N) symmetric models in the presence of discrete gauge symmetries
• Large-n expansion for m-axial Lifshitz points
• Local and cluster critical dynamics of the 3d random-site Ising model
• Linking $U(2)\times U(2)$ to $O(4)$ model via decoupling
• The surprising convergence of the Monte Carlo renormalization group for the d=3 Ising Model
• Critical Casimir effect in films for generic non-symmetry-breaking boundary conditions
• Three-loop critical exponents, amplitude functions, and amplitude ratios from variational perturbation theory
• Low-temperature effective potential of the Ising model
• Scaling relations and multicritical phenomena from Functional Renormalization
• Master singular behavior from correlation length measurements for seven one-component fluids near their gas-liquid critical point
• Vacuum Condensate Picture of Quantum Gravity
• On the 2-point function of the O(N) model
• Critical dynamics and effective exponents of magnets with extended impurities
• Highly Accurate Critical Exponents from Self-Similar Variational Perturbation Theory
• Effects of QCD critical point on light nuclei production
• Conformal Bootstrap Analysis for Single and Branched Polymers
• Universality aspects of the 2d random-bond Ising and 3d Blume-Capel models
• Crossover behavior in He3 and Xe near their liquid-vapor critical point
• Critical parameters from trap-size scaling in trapped particle systems
• Extended Scaling for Ferromagnets
• Mean-field expansion for spin models with medium-range interactions
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Applicability of n-vicinity method for calculation of free energy of Ising model
• Precise Critical Exponents of the O(N)-Symmetric Quantum field Model using Hypergeometric-Meijer Resummation
• Thermal cycling induced alteration of the stacking order and spin-flip in the room temperature van der Waals magnet Fe${}_5$GeTe${}_2$
• Exact enumeration of self-avoiding walks on BCC and FCC lattices
• The free energy in a magnetic field and the universal scaling equation of state for the three-dimensional Ising model
• Adsorption-like Collapse of Diblock Copolymers
• Critical scaling in the large-$N$ $O(N)$ model in higher dimensions and its possible connection to quantum gravity
• Critical behavior of certain antiferromagnets with complicated ordering: Four-loop $\ve$-expansion analysis
• The correction-to-scaling exponent in dilute systems
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy
• Duality and scaling in 3-dimensional scalar electrodynamics
• Model A of critical dynamics: 5-loop $\epsilon$ expansion study
• Application of Minimal Subtraction Renormalization to Crossover Behavior near the ${}^3$He Liquid-Vapor Critical Point
• Uniformizing Lee-Yang Singularities
• Master crossover functions for the one-component fluid "subclass"
• Critical Exponents of Superfluid Helium and Pseudo-$\epsilon$ Expansion
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Critical Exponents in Two Dimensions and Pseudo-ε Expansion
• Topological crossovers in the forced folding of self-avoiding matter
• Two-particle bound states and one-particle structure factor in a Heisenberg bilayer system
• Renormalization group and nonlinear susceptibilities of cubic ferromagnets at criticality
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Conformal Bootstrap Signatures of the Tricritical Ising Universality Class
• On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model
• Large N Quantum Time Evolution Beyond Leading Order
• Critical Exponents from Five-Loop Strong-Coupling phi^4-Theory in 4- epsilon Dimensions
• Geometric Properties of the Three-Dimensional Ising and XY Models
• The $\lambda$-point anomaly in view of the seven-loop Hypergeometric resummation for the critical exponent $\nu$ of the $O(2)$ ${\varphi }^4$ model
• Borel Resummation of the Perturbative Free Energy of Hot Yang-Mills Theory
• Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point
• Critical adsorption on non-spherical colloidal particles
• Phase diagram and Higgs phases of 3D lattice SU(Nc) gauge theories with multiparameter scalar potentials
• Conformal invariance in three dimensional percolation
• Mean crossover functions for uniaxial 3D ising-like systems
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Extraordinary-log Universality of Critical Phenomena in Plane Defects
• Hints of unitarity at large $N$ in the $O(N{)}^3$ tensor field theory
• Critical thermodynamics of three-dimensional MN-component field model with cubic anisotropy from higher-loop εexpansion
• Attempts at a determination of the fine-structure constant from first principles: A brief historical overview
• Pseudo-$\epsilon$ Expansion and Renormalized Coupling Constants at Criticality
• Nonperturbative renormalization-group approach preserving the momentum dependence of correlation functions
• Critical Behavior of the Three-Dimensional Ising model with Anisotropic Bond Randomness at the Ferromagnetic-Paramagnetic Transition Line
• Two- and three-point functions at criticality: Monte Carlo simulations of the improved three-dimensional Blume-Capel model
• Microphase separation in oil-water mixtures containing hydrophilic and hydrophobic ions
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Renormalization Scheme Dependence, RG Flow and Borel Summability in ${\varphi }^4$ Theories in $d<4$
• An extended scaling analysis of the S=1/2 Ising ferromagnet on the simple cubic lattice
• Critical Casimir forces in the presence of random surface fields
• Monte Carlo study of the scaling of universal correlation lengths in three-dimensional O(n) spin models
• Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations
• Entropy-induced separation of star polymers in porous media
• Optimization of self-similar factor approximants
• Lee-Yang and Langer edge singularities from analytic continuation of scaling functions
• On the Critical Exponents for the Λ-Transition in Liquid Helium
• Wang-Landau study of the 3D Ising model with bond disorder
• Spin models with random anisotropy and reflection symmetry
• Correlation functions in the Non Perturbative Renormalization Group and field expansion
• Crossover phenomena in spin models with medium-range interactions and self-avoiding walks with medium-range jumps
• Drying layer near a weakly attractive surface
• Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group
• Crossover effects in the bond-diluted Ising model in three dimensions
• Critical Exponents without beta-Function
• Fisher Exponent from Pseudo-$\epsilon$ Expansion
• Self-Dualities and Renormalization Dependence of the Phase Diagram in 3d $O(N)$ Vector Models
• Renormalised four-point coupling constant in the three-dimensional O(N) model with N=0
• Dynamic structure factor of the Ising model with purely relaxational dynamics
• Nonequilibrium dynamic-correlation-length scaling method
• Discovering and quantifying nontrivial fixed points in multi-field models
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Optical Studies of the coexistence curve of the n-heptane+nitrobenzene mixture near its consolute point measured by an optical method
• The stability of a cubic fixed point in three dimensions from the renormalization group
• Wavelet treatment of the intra-chain correlation functions of homopolymers in dilute solutions
• Fluid phase coexistence and critical behaviour from simulations in the restricted Gibbs ensemble
• Structure factor of dilute ring polymers
• Out-of-equilibrium finite-size scaling in generalized Kibble-Zurek protocols crossing quantum phase transitions in the presence of symmetry-breaking perturbations
• Ring polymers in crowded environment: conformational properties
• Quantum extraordinary-log universality of boundary critical behavior
• Stability of fixed points and generalized critical behavior in multifield models
• Star copolymers in porous environments: scaling and its manifestations
• Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Conformal invariance and composite operators: A strategy for improving the derivative expansion of the nonperturbative renormalization group
• Higher orders of the high-temperature expansion for the Ising model in three dimensions
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Universality versus nonuniversality in asymmetric fluid criticality
• Master crossover behavior of parachor correlations for one-component fluids
• Third-harmonic exponent in three-dimensional N-vector models
• Classical-quantum correspondence of special and extraordinary-log criticality: Villain's bridge
• A study of polymer knots using a simple knot invariant written consisting of multiple contour integrals
• CFT data in the Gross-Neveu model
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study
• Critical exponents of the quark-gluon bags model with the critical endpoint
• Derivative expansion for computing critical exponents of O(N) symmetric models at NNLO
• Universal shape ratios for polymers grafted at a flat surface
• Dynamic surface critical behavior of isotropic Heisenberg ferromagnets: boundary conditions, renormalized field theory, and computer simulation results
• Effective average action based approach to correlation functions at finite momenta
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Deep learning lattice gauge theories
• Sublattice extraordinary-log phase and new special point of the antiferromagnetic Potts model
• Nonequilibrium behaviors of 3D Heisenberg model in the Swendsen-Wang algorithm
• Two-Loop Corrections to Large Order Behavior of ${\phi }^4$ Theory
• Computation of the dynamic critical exponent of the three-dimensional Heisenberg model
• Scaling of star polymers: high order results
• The epsilon-expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature
• Physical ageing from generalised time-translation-invariance
• Bulk and Surface Critical Behaviors of quantum Heisenberg antiferromagnet on a two-dimensional coupled diagonal ladders
• Probing interface localization-delocalization transitions by colloids
• Scaling theory for the free-energy barrier to homogeneous nucleation of a non-critical phase near a critical point
• The Isothermal Binodal Curves Near a Critical Endpoint
• A variance reduced estimator of the connected two-point function in the presence of a broken Z_2 symmetry
• $W$ : an alternative phenomenological coupling parameter for model systems
• Universality and quantum effects in one-component critical fluids
• Towards a fully automated computation of RG-functions for the 3-$d$ O(N) vector model: Parametrizing amplitudes
• Vibrational spectroscopies in liquid water: on temperature and coordination effects in Raman and infrared spectroscopies
• Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with ${\mathbb{Z}}_2$ gauge symmetry
• Modelling thermoresponsive polymer brush by mesoscale computer simulations
• Exponents of interchain correlation for self-avoiding walks and knotted self-avoiding polygons
• Numerical diagonalization analysis of the criticality of the (2+1)-dimensional XY model: Off-diagonal Novotny's method
• Self-consistent Ornstein-Zernike approximation for three-dimensional spins
• Renormalization group flow equations with full momentum dependence
• Finite-temperature phase transitions in $S=1/2$ three-dimensional Heisenberg magnets from high-temperature series expansions
• Renormalization Group Functions for Two-Dimensional Phase Transitions: To the Problem of Singular Contributions
• Renormalization group for the ${\phi }^4$-theory with long-range interaction and the critical exponent $\eta$ of the Ising model
• Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; Resummation of perturbative renormalization functions from field theories
• Three-dimensional Ising model confined in low-porosity aerogels: a Monte Carlo study
• Non-compact lattice Higgs model with Abelian discrete gauge groups: phase diagram and gauge symmetry enlargement
• Sextic tensor model in rank $3$ at next-to-leading order
• Fluctuation induced forces in critical films with disorder at their surfaces
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• Universal Large-order asymptotic behavior of the Strong-coupling and High-Temperature series expansions
• Universal shape characteristics for the mesoscopic polymer chain via dissipative particle dynamics
• Anisotropy of a Cubic Ferromagnet at Criticality
• Critical renormalized coupling constants in the symmetric phase of the Ising models
• Extraordinary surface critical behavior induced by symmetry-protected topological state of a two-dimensional quantum magnet
• Global superfluid phase diagram of three component fermions with magnetic ordering
• Master singular behavior for the Sugden factor of the one-component fluids near their gas-liquid critical point
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• Two-Loop Corrections to the Large-Order Behavior of Correlation Functions in the One-Dimensional N-Vector Model
• High-Order Parametrization of the Hypergeometric-Meijer Approximants
• Effective potential of the three-dimensional Ising model: the pseudo-$\epsilon$ expansion study
• Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O($N$)${}^{\ast }$ and Ising${}^{\ast }$ continuous transitions
• Criticality of the (2+1)-dimensional S=1 transverse-field Ising model with extended interactions: Suppression of corrections to scaling
• Non-equilibrium critical behavior : An extended irreversible thermodynamics approach
• Monte Carlo Renormalization Group Analysis of Lattice ${\varphi }^4$ Model in $D=3,4$
• Corrections to scaling in multicomponent polymer solutions
• Obtaining Bounds on The Sum of Divergent Series in Physics
• Scaling behavior of knotted random polygons and self-avoiding polygons: Topological swelling with enhanced exponent
• Properties of the $\epsilon$-Expansion, Lagrange Inversion and Associahedra and the $O(1)$ Model
• Superconducting quantum criticality and the anomalous scaling: A nonlinear relativistic equation
• Approximating the Ising model on fractal lattices of dimension below two
• Dynamic surface scaling behavior of isotropic Heisenberg ferromagnets
• Improved Gaussian self-consistent method - Applications to homopolymers with different architectures in dilute solution
• Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice
• Conformational properties of polymers in anisotropic environments
• Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Two-loop Feynman integrals for ${\varphi }^4$ theory with long-range correlated disorder
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
• Effective and asymptotic criticality of structurally disordered magnets
• Continued functions and Borel-Leroy transformation: Resummation of six-loop ε-expansions from different universality classes
• Monte Carlo renormalization group calculation for the d=3 Ising Model using a modified transformation
• Critical aspects of three-dimensional anisotropic spin-glass models
• The interfacial profile in two-loop order
• The entropic pressure of lattice knots
• Universality, Lee-Yang singularities and series expansions
• Perturbative versus Non-Perturbative Renormalization
• Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the dimerized diamond lattice
• Antiferromagnetic order in a layered magnetic topological insulator MnBi${}_2$Se${}_4$ probed by resonant soft x-ray scattering
• Loop formation in polymers in crowded environment
• Scaling properties of the critical behavior in the dilute antiferromagnet Fe(0.93)Zn(0.07)F2
• Driven-Dissipative Bose-Einstein Condensation and the Upper Critical Dimension
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Interfacial Tensions near Critical Endpoints: Experimental Checks of EdGF Theory
• Scaling of complex polymers: new universality classes and beyond
• Universal effective couplings of the three-dimensional $n$-vector model and field theory
• Critical Behaviour of Structure Factors at a Quantum Phase Transition
• Effect of the quartic gradient terms on the critical exponents of the Wilson-Fisher fixed point in $O(N)$ models
• Nonlinear susceptibilities of a weakly-disordered uniaxial ferromagnet in the critical region
• Order parameter of a three-dimensional Ising-like system in the simplest and higher non-Gaussian approximations
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations
• Supercritical-subcritical correspondence, asymmetric effects and antisymmetric corrections near a critical point
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Wilson's renormalization group: a paradigmatic shift
• Critical behaviour of a 3D Ising-like system in the ρ^6 model approximation: Role of the correction for the potential averaging
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Nanocriticality in the magnetic phase transition of CoO nanoparticles
• Critical Exponents of the O(N)-symmetric ${\varphi }^4$ Model from the \boldmath{\large{ ${\epsilon }^7$}} Hypergeometric-Meijer Resummation
• High-precision estimates of critical quantities by means of improved Hamiltonians
• Conjecture on the lower bound of the length-scale critical exponent $\nu$ at continuous phase transitions
• Connecting Complex Electronic Pattern Formation to Critical Exponents
• Phase transitions in (2 + 1)D subsystem-symmetric monitored quantum circuits
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Coagulation-flocculation process on a lattice: Monte Carlo simulations
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group
• Elastic properties of hidden order in URu${}_{\text{2}}$Si${}_{\text{2}}$ are reproduced by a staggered nematic
• Scaling properties of diblock copolymers: dynamic simulations study
• Stability of universal properties against perturbations of the Markov Chain Monte Carlo algorithm
• Entropic exponents of grafted lattices stars
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models
• Ising models on the hydrogen peroxide and other lattices
• Operator product expansion coefficients from the nonperturbative functional renormalization group