Magnetic field-dependent electric charge transport in hadronic medium at finite temperature

TL;DR

This paper investigates how magnetic fields influence electric charge transport in hot hadronic matter, revealing the effects of Landau quantization, mean-field modifications, and external electric fields on transport properties.

Contribution

It introduces a comprehensive analysis of magnetic field-dependent charge transport in hadronic matter, incorporating Landau quantization and mean-field effects within the linear sigma model.

Findings

Transport coefficients vary significantly with magnetic field strength.

Electromagnetic response depends on mean-field effects and external field evolution.

Landau quantization constrains charged particle motion in strong magnetic fields.

Abstract

Electric charge transport of hadronic matter at finite temperature and magnetic field is studied within the linear sigma model. Anisotropic transport coefficients associated with the charge transport are estimated both in the weak and strong regimes of the magnetic field using the transport theory approach. In a weakly magnetized medium, the magnetic field effects are incorporated through the Lorentz force term in the Boltzmann equation. Strong magnetic field puts further constraints on the motion of charged particles through Landau quantization. Magnetic field-dependent thermal relaxation time is obtained from interaction rates of hadrons with the S-matrix approach by considering the Landau level kinematics of the charged hadrons. Mean-field effects are embedded in the analysis through the temperature-dependent hadron masses. Further, the hadronic medium response to a time-varying external electric field is studied in weak and strong magnetic field regimes. It is seen that electromagnetic responses of the hadronic matter have a strong dependence on the mean-field effects, sigma mass, the strength of the external fields, and its evolution in the medium.