Critical equation of state from the average action

Abstract

The scaling form of the critical equation of state is computed for $O(N)$-symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically.

Latex, 8 pages, 2 uuencoded figures

References in corpus (5)

• Exact evolution equation for the effective potential
• Static and Dynamic Critical Phenomena at a Second Order QCD Phase Transition
• Critical Exponents from the Effective Average Action
• Derivative Expansion of the Exact Renormalization Group
• Solving non-perturbative flow equations

Cited by in corpus (56)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Critical Exponents of the N-vector model
• The nonperturbative functional renormalization group and its applications
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Critical exponents and equation of state of the three-dimensional Heisenberg universality class
• Exact Renormalization Group Equations. An Introductory Review
• 3D Ising Model:The Scaling Equation of State
• A new method to solve the Non Perturbative Renormalization Group equations
• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Two flavor chiral phase transition from nonperturbative flow equations
• Derivative expansion of the renormalization group in O(N) scalar field theory
• Three dimensional massive scalar field theory and the derivative expansion of the renormalization group
• Effective average action in statistical physics and quantum field theory
• Universal location of the Yang-Lee edge singularity in O(N) theories
• A Consistent Calculation of Bubble-Nucleation Rates
• Coarse graining and first order phase transitions
• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Pion production from a critical QCD phase
• Equation of state and coarse grained free energy for matrix models
• The Electroweak Phase Transition through the Renormalization Group
• Three-body scattering from nonperturbative flow equations
• Second-order and Fluctuation-induced First-order Phase Transitions with Functional Renormalization Group Equations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Universal Behavior of One-Dimensional Gapped Antiferromagnets in Staggered Magnetic Field
• The 2n-point renormalized coupling constants in the 3d Ising model: estimates by high temperature series to order beta^17
• Functional Integral for Ultracold Fermionic Atoms
• Kaluza-Klein Thresholds and Regularization (In)dependence
• Quark and Nuclear Matter in the Linear Chiral Meson Model
• Effective Potential for Scalar Field in Three Dimensions: Ising Model in the Ferromagnetic Phase
• Equation of state near the endpoint of the critical line
• On spinodal points and Lee-Yang edge singularities
• Precision calculation of universal amplitude ratios in $O(N)$ universality classes: Derivative Expansion results at order $\mathcal{O}({\partial }^4)$
• Universal location of Yang-Lee edge singularity for a one-component field theory in $1\le d\le 4$
• Soft modes in hot QCD matter
• Non-Perturbative Renormalization Group calculation of the scalar self-energy
• Universal location of Yang-Lee edge singularity in classic O(N) universality classes
• Low-temperature effective potential of the Ising model
• On the 2-point function of the O(N) model
• Monte Carlo critical isotherms for Ising lattices
• Alternative flow equation for the functional renormalization group
• Free Energy and Equation of State of Ising-like Magnet Near the Critical Point
• Renormalization-group study of weakly first-order phase transitions
• Critical Behavior of phi^4-Theory from the Thermal Renormalization Group
• Propagation of Gluons From a Non-Perturbative Evolution Equation in Axial Gauges
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• QCD at high Baryon Density and Temperature: Competing Condensates and the Tricritical Point
• An Analytic Equation of State for Ising-like Models
• Comparison of Renormalization-Group and Lattice Studies of the Electroweak Phase Transition
• Two lectures on Yang-Lee edge singularity and analytic structure of QCD equation of state
• Critical renormalized coupling constants in the symmetric phase of the Ising models
• Flow of the Coarse Grained Free Energy for Crossover Phenomena
• 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
• One-loop functional RG flow of scalar theory with electroweak symmetry
• Operator product expansion coefficients from the nonperturbative functional renormalization group
• Exact renormalization group equation for lattice Ginzburg-Landau models adapted to the solution in the local potential approximation
• Functional Renormalization Analytically Continued