Analysis on nonperturbative flavor violation at chiral crossover criticality in QCD

Abstract

We discuss the violation of quark-flavor symmetry at high temperatures, induced from nonperturbative thermal loop corrections and axial anomaly, based on a three-flavor linear-sigma model including an axial-anomaly induced-flavor breaking term. We employ a nonperturbative analysis following the Cornwall-Jackiw-Tomboulis formalism, and show that the model undergoes a chiral crossover with a pseudo-critical temperature, consistently with lattice observations. We find following features regarding the flavor breaking eminent around and above the pseudo-critical temperature: i) up-and down-quark condensates drop faster than the strange quark's toward the criticality, but still keep nonzero value even going far above the critical temperature; ii) the introduced anomaly-related flavor-breaking effect acts as a catalyzer toward the chiral restoration, and reduces the amount of flavor breaking in the up, down and strange quark condensates; iii) a dramatic deformation for the meson flavor mixing structure is observed, in which the anomaly-induced favor breaking is found to be almost irrelevant; iv) the meson spectroscopy gets corrected by the net nonperturbative flavor breaking effects, where the scalar meson mass hierarchy (inverse mass hierarchy) is significantly altered by the presence of the anomaly-related flavor breaking; v) the topological susceptibility significantly gets the contribution from the surviving strange quark condensate, which cannot be dictated by the chiral perturbation theory, and deviates from the dilute instanton gas prediction. There the anomaly-induced flavor breaking plays a role of the destructive interference for the net flavor violation; vi) the U(1)_A breaking is enhanced by the strange quark condensate, which may account for the tension in the effective U(1)_A restoration observed on lattices with two flavors and 2+1 flavors near the chiral limit.

arXiv comment25 pages, 13 figures, minor corrections made, some revision made

References in corpus (37)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Instantons in QCD
• Properties and uses of the Wilson flow in lattice QCD
• The QCD axion, precisely
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Chiral crossover in QCD at zero and non-zero chemical potentials
• The QCD Equation of State with almost Physical Quark Masses
• The QCD phase transition with physical-mass, chiral quarks
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Chiral phase transition temperature in (2+1)-Flavor QCD
• The topological susceptibility in finite temperature QCD and axion cosmology
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• Direct determination of the strange and light quark condensates from full lattice QCD
• The O(N) Model at Finite Temperature: Renormalization of the Gap Equations in Hartree and Large-N Approximation
• Meson Screening Masses in (2+1)-Flavor QCD
• Chiral symmetry restoration in linear sigma models with different numbers of quark flavors
• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Topology in full QCD at high temperature: a multicanonical approach
• Topological charge using cooling and the gradient flow
• Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• New developments in lattice QCD on equilibrium physics and phase diagram
• Pseudoscalar susceptibilities and quark condensates: chiral restoration and lattice screening masses
• Patterns and partners for chiral symmetry restoration
• Functional Renormalization for Chiral and U_A(1) Symmetries at Finite Temperature
• Effect of the chiral phase transition on axion mass and self-coupling
• The Myriad Uses of Instantons
• Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature
• Transition temperature and the equation of state from lattice QCD, Wuppertal-Budapest results
• Inverse Mass Hierarchy of Light Scalar Mesons Driven by Anomaly-Induced Flavor Breaking
• "Invisible" QCD axion rolling through the QCD phase transition
• Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD
• Nonperturbative Flavor Breaking in Topological Susceptibility at Chiral Crossover

Cited by in corpus (10)

• Fate of the topological susceptibility in two-color dense QCD
• New interpretation of chiral phase transition: Violation of trilemma in QCD
• New aspect of chiral and axial breaking in QCD
• $U_A(1)$ symmetry restoration at high baryon density
• Axial inverse magnetic catalysis
• Enhancement of axial anomaly effects in hot two-color QCD: FRG approach in the linear sigma model
• QCD knows new quarks
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD
• Susceptibilities of rotating quark matter in Fourier-Bessel basis