Mesonic modes in confining model at finite temperature

TL;DR

This paper investigates the temperature-dependent mass spectrum of pseudoscalar and scalar mesons using a nonlocal quark model that incorporates confinement, analyzing their screening and pole masses across different phases.

Contribution

It introduces a modified Laplace transform to model quark confinement and studies meson masses through the deconfining transition in a unified framework.

Findings

Screening masses of mesons vary with temperature.

Pole masses are accurately described up to the deconfining phase transition.

A new modification links confining and deconfining phases in the model.

Abstract

The mass spectrum of pseudoscalar and scalar meson modes at finite temperature is studied in the framework of a nonlocal quark model. The model implements quark confinement via the modification of the Laplace transform of the quark propagator. In order to synchronize the confining and deconfining phases, a modification of the transform is proposed. The behavior of the screening masses of mesons is studied in a wide region of temperatures, while the pole masses are described up to the deconfining phase transition.