Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime

Abstract

We incorporate the effective restoration of $U(1{)}_{\mathrm{A}}$ symmetry in the 2+1 flavor entanglement Polyakov-loop extended Nambu--Jona-Lasinio (EPNJL) model by introducing a temperature-dependent strength $K(T)$ to the Kobayashi-Maskawa-'t Hooft (KMT) determinant interaction. $T$ dependence of $K(T)$ is well determined from pion and $a_0$-meson screening masses obtained by lattice QCD (LQCD) simulations with improved p4 staggered fermions. The strength is strongly suppressed in the vicinity of the pseudocritical temperature of chiral transition. The EPNJL model with the $K(T)$ well reproduces meson susceptibilities calculated by LQCD with domain-wall fermions. The model shows that the chiral transition is second order at the "light-quark chiral-limit" point where the light quark mass is zero and the strange quark mass is fixed at the physical value. This indicates that there exists a tricritical point. Hence the location is estimated.

10 pages, 12 figures

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Cited by in corpus (11)

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• Patterns and partners for chiral symmetry restoration
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• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Thermal behavior of effective U_A(1) anomaly couplings in reflection of higher topological sectors
• Light quarks at finite temperature: chiral restoration and the fate of the $U(1{)}_A$ symmetry
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Backreaction of mesonic fluctuations on the axial anomaly at finite temperature