New Insight about the Effective Restoration of U_A(1) Symmetry

Abstract

The effective restoration of the U_{A}(1) symmetry is revisited by implementing the functional renormalization group approach combining with the 2+1 flavor Polyakov-loop quark-meson model. A temperature-dependent 't Hooft term is taken to imitate the restoration of the U_{A}(1) symmetry. Order parameters, meson spectrum and mixing angles, especially the pressure and the entropy density of the system are calculated to explore the effects of different U_{A}(1) symmetry restoration patterns. We show then that the temperature for the restoration of the U_{A}(1) symmetry is much higher than that for the chiral symmetry SU_{A}(3).

7 pages, 10 figures, References added

References in corpus (18)

• Exact evolution equation for the effective potential
• The equation of state in (2+1)-flavor QCD
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Ising exponents from the functional renormalisation group
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Non-perturbative thermal flows and resummations
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Magnetic susceptibility of a strongly interacting thermal medium with 2+1 quark flavors
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• U_A(1) Anomaly at high temperature: the scalar-pseudoscalar splitting in QCD

Cited by in corpus (8)

• QCD at finite temperature and density within the fRG approach: An overview
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Mass-dependence of pseudocritical temperature in mean field approximation
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• $U_A(1)$ symmetry restoration at high baryon density
• Charged pions asymmetry from the decay of light neutral axial mesons due to interference
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature
• Probing the chiral and $U(1)$ axial symmetry restoration via meson susceptibilities in holographic QCD