On the Convergence of the Expansion of Renormalization Group Flow Equation

Abstract

We compare and discuss the dependence of a polynomial truncation of the effective potential used to solve exact renormalization group flow equation for a model with fermionic interaction (linear sigma model) with a grid solution. The sensitivity of the results on the underlying cutoff function is discussed. We explore the validity of the expansion method for second and first-order phase transitions.

12 pages with 10 EPS figures included; revised version

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Cited by in corpus (42)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
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• The nonperturbative functional renormalization group and its applications
• Introduction to the functional RG and applications to gauge theories
• The Phase Diagram of the Quark-Meson Model
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Renormalization Group Approach towards the QCD Phase Diagram
• Proper Time Flow Equation for Gravity
• Completeness and consistency of renormalisation group flows
• Higher order quark-mesonic scattering processes and the phase structure of QCD
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• QCD at finite temperature and density within the fRG approach: An overview
• On the Phase Structure of QCD in a Finite Volume
• Fluctuations and the axial anomaly with three quark flavors
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Perturbation theory and renormalisation group equations
• Chiral Susceptibility in (2+1)-flavour QCD
• Predictive power of renormalisation group flows: a comparison
• Universality and the Renormalisation Group
• Solving functional flow equations with pseudo-spectral methods
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• Fluctuations and isentropes near the chiral critical endpoint
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Proper time regulator and Renormalization Group flow
• Spontaneous Symmetry Breaking and Proper-Time Flow Equations
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Bound state properties from the Functional Renormalisation Group
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Finite-Temperature Gluon Condensate with Renormalization Group Flow Equations
• Finite-Size Scaling behavior in the O(4)-Model
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
• Perturbative and non-perturbative aspects of the proper time renormalization group
• 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
• Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature
• A new functional flow equation for Einstein-Cartan quantum gravity
• Renormalization Group Flow in large N_c
• Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
• The Spectrum of the Dirac Operator in the Linear Sigma Model with Quarks
• Renormalization Group Flow Equations For The Scalar O(N) Theory
• Dielectron Production in Heavy Ion Collisions at 158 GeV/c per Nucleon