Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature

Abstract

We study $U_A(1)$ symmetry and its relation to chiral symmetry at finite temperature through the application of functional renormalization group to the $SU(3)$ quark meson model. Very different from the mass gap and mixing angel between $\eta$ and ${\eta }^{\prime }$ mesons which are defined at mean field level and behavior like the chiral condensates, the topological susceptibility includes a fluctuations induced part which becomes dominant at high temperature. As a result, the $U_A(1)$ symmetry is still considerably broken in the chiral symmetry restoration phase.

9 pages, 5 figures

References in corpus (9)

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Cited by in corpus (18)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and density within the fRG approach: An overview
• Shocks and quark-meson scatterings at large density
• Nambu--Jona-Lasinio model in a parallel electromagnetic field
• Updated study of the $\eta$-${\eta }^{\prime }$ mixing and the thermal properties of light pseudoscalar mesons at low temperatures
• Thermal behaviors of light scalar resonances at low temperatures
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Analysis on nonperturbative flavor violation at chiral crossover criticality in QCD
• New interpretation of chiral phase transition: Violation of trilemma in QCD
• New Insight about the Effective Restoration of U_A(1) Symmetry
• Nonperturbative Flavor Breaking in Topological Susceptibility at Chiral Crossover
• QCD topology and axion properties in an isotropic hot and dense medium
• Field dependence of the Yukawa coupling in the three flavor quark-meson model
• New aspect of chiral and axial breaking in QCD
• $U_A(1)$ symmetry restoration at high baryon density
• Range of topological fluctuations in the three-flavor linear sigma model
• QCD topological susceptibility from the nonlocal chiral quark model