A New Technique for the Calculation of Effective Mesonic Potential at Finite Temperature in the Logarithmic Quark-Sigma Model

TL;DR

This paper introduces a numerical method to calculate the effective mesonic potential at finite temperature within the logarithmic quark-sigma model, analyzing meson properties and phase transitions.

Contribution

It extends the logarithmic sigma model to finite temperature and provides a numerical approach to evaluate the effective potential and meson properties.

Findings

Effective potential predicts meson masses accurately.

Phase transition temperature is identified.

Results agree with other theoretical approaches.

Abstract

The logarithmic sigma model describes the interactions between quarks via sigma and pion exchanges. The effective mesonic potential is extended to the finite temperature and it is numerically calculated using n-midpoint rule. Meson properties such as the phase transition, the sigma and pion masses, and the critical point temperature are examined as functions of temperature. The obtained results are compared with other approaches. We conclude that the calculated effective potential is successfully to predict the meson properties