Temperature dependence of meson screening masses; a comparison of effective model with lattice QCD

TL;DR

This paper compares meson screening masses from an effective model with lattice QCD results, introducing a new calculation method that improves accuracy and predicts pole mass temperature dependence.

Contribution

It presents a practical Pauli-Villars regularization method for calculating meson screening masses in NJL-type models, aligning model predictions with lattice QCD data.

Findings

Successful reproduction of lattice QCD pion screening masses

New regularization method improves calculation accuracy

Predicted temperature dependence of pole mass

Abstract

Temperature dependence of pion and sigma-meson screening masses is evaluated by the Polyakov-loop extended Nambu--Jona-Lasinio model with the entanglement vertex (EPNJL model). 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 evaluation of screening masses is not easy in the NJL-type effective models. The method is applied to analyze temperature dependence of pion screening masses calculated with state-of-the-art lattice simulations with success in reproducing the lattice QCD results. We predict the temperature dependence of pole mass by using EPNJL model.