Medium effects on the electrical conductivity of a hot pion gas

TL;DR

This paper investigates how medium effects influence the electrical conductivity of a hot pion gas by incorporating finite temperature scattering amplitudes and solving the relativistic transport equation.

Contribution

It introduces a detailed calculation of pion scattering amplitudes at finite temperature and evaluates their impact on electrical conductivity using the Chapman-Enskog method.

Findings

Electrical conductivity increases significantly with temperature due to medium effects.

Medium modifications of scattering amplitudes enhance the electrical response.

The study provides quantitative insights into electromagnetic properties of hot pion matter.

Abstract

The electromagnetic response of an interacting system of pions has been studied at finite temperature. The corresponding transport parameter i.e. electrical conductivity has been estimated by solving the relativistic transport equation in presence of a finite electric field employing the Chapman-Enskog technique where the collision term has been treated in the relaxation time approximation. The scattering amplitudes of charged pions modeled by $\rho$ and $\sigma$ meson exchange using an effective Lagrangian have been obtained at finite temperature by introducing self-energy corrections in the thermal propagators in the real time formalism. The temperature behavior of electrical conductivity for a hot pion gas shows significant quantitative enhancement due to the inclusion of medium effects in scattering.