Electric Conductivity of a hot hadron gas from a kinetic approach

TL;DR

This paper calculates the electric conductivity of a hot hadron gas using a kinetic approach based on the Boltzmann equation, providing results relevant for heavy-ion collision experiments and theoretical comparisons.

Contribution

It extends previous kinetic calculations to include a realistic hadron gas with resonance cross sections, offering new insights into its electric conductivity.

Findings

Agreement with massless quark-gluon plasma results

Electric conductivity values for hadron gas with resonance interactions

Potential for comparison with lattice QCD calculations

Abstract

We calculate the electric conductivity of a gas of relativistic particles with isotropic cross sections using the Boltzmann equation as the starting point. Our analyses is restricted to elastic collisions. We show the perfect agreement with previously published numerical results for a massless quark- gluon plasma, and give results for the electric conductivity of an interacting hadron gas, employing realistic resonance cross sections. These results for the electric conductivity of a hot hadron gas, as created in (ultra-)relativistic heavy-ion collisions, are of rich phenomenological as well as theoretical interest and can be compared to, e.g., lattice quantum field theory calculations.