Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach

Abstract

We compute the low-energy limit of the $O(4)$-symmetric quark-meson model as an effective field theory for Quantum Chromodynamics within the Functional Renormalization Group (FRG) approach. In particular, we analyze the renormalization group flow of momentum-dependent pion self-interactions beyond the local potential approximation. The numerical results for these couplings obtained from the FRG are confronted with a recent tree-level study. Additionally, their effect on the wave-function renormalization and the curvature masses is investigated.

References in corpus (47)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Exact Renormalisation Group and Approximate Solutions
• New Developments in FeynCalc 9.0
• Aspects of the Functional Renormalisation Group
• Exact Renormalization Group Equations. An Introductory Review
• On the Foundations of Chiral Perturbation Theory
• Chiral symmetry breaking in continuum QCD
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• The Phase Diagram of the Quark-Meson Model
• Renormalization Flow of Bound States
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Effective Action for the Quark-Meson Model
• Renormalization Group Approach towards the QCD Phase Diagram
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Universality of spontaneous chiral symmetry breaking in gauge theories
• Aspects of Chiral Symmetry
• Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
• Exact flow equation for composite operators
• Derivative expansion and renormalisation group flows
• Thermodynamics of QCD at vanishing density
• Vacuum phenomenology of the chiral partner of the nucleon in a linear sigma model with vector mesons
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• The Glueball in a Chiral Linear Sigma Model with Vector Mesons
• Nuclear matter within a dilatation-invariant parity doublet model: the role of the tetraquark at nonzero density
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
• Fluctuations and the axial anomaly with three quark flavors
• FormTracer - A Mathematica Tracing Package Using FORM
• Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
• Universal Aspects of QCD-like Theories
• Vector and axial-vector correlators in a chirally symmetric model
• Chiral density wave in nuclear matter
• Functional renormalization group study of the two-flavor linear sigma model in the presence of the axial anomaly
• Thermodynamics of QCD low-energy models and the derivative expansion of the effective action
• Functional Renormalization Group Study of the Chiral Phase Transition Including Vector and Axial-vector Mesons
• Phenomenology of charmed mesons in the extended Linear Sigma Model
• A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment
• Self-consistent Spectral Functions in the $O(N)$ Model from the FRG
• Volume dependence of baryon number cumulants and their ratios
• Functional renormalization group with a compactly supported smooth regulator function
• The Quark-Meson Model and the Phase Diagram of Two-Flavour QCD
• Mirror versus naive assignment in chiral models for the nucleon
• U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group
• Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model
• Quarks, mesons and (exact) flow equations

Cited by in corpus (12)

• The nonperturbative functional renormalization group and its applications
• Bound state properties from the Functional Renormalisation Group
• DoFun 3.0: Functional equations in Mathematica
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. II. Entropy production and irreversibility of RG flows
• 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
• Dynamical generation of low-energy couplings from quark-meson fluctuations
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
• Real-time observables from Euclidean thermal correlation functions
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation