Effective model approach to meson screening masses at finite temperature

Abstract

Temperature dependence of pion and sigma-meson screening masses is evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model with the entanglement vertex. We propose a practical way of calculating meson screening masses in the NJL-type effective models. The method based on the Pauli-Villars regularization solves the well-known difficulty that the evaluaton of screening masses is not easy in the NJL-type effective models.The PNJL model with the entanglement vertex and the Pauli-Villars regularization well reproduces lattice QCD results on temperature dependence of the chiral condensate and the Polyakov loop. The method is applied to analyze temperature dependence of pion screening mass calculated with state-of-the-art lattice simulations with success in reproducing the lattice QCD results.

5 pages, 3 figures

References in corpus (11)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Equation of state and QCD transition at finite temperature
• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Thermodynamics of the PNJL model
• Critical endpoint in the Polyakov-loop extended NJL model
• Meson screening masses from lattice QCD with two light and the strange quark
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics

Cited by in corpus (10)

• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• An effective field theory for warm QCD
• Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• Spectral function for pions in magnetic field
• Extrapolation for meson screening masses from imaginary to real chemical potential