# Electrical conductivity and Hall conductivity of hot and dense quark gluon plasma in a magnetic field: a quasi particle approach

## TL;DR

This paper estimates electrical and Hall conductivities of hot, dense quark-gluon plasma under magnetic fields using a quasiparticle kinetic approach, comparing results with lattice QCD and exploring effects of chemical potential.

## Contribution

It introduces a quasiparticle kinetic model to compute conductivities in quark-gluon plasma under magnetic fields, including the impact of chemical potential and comparison with lattice QCD.

## Key findings

- Electrical conductivity decreases with magnetic field.
- Hall conductivity exhibits non-monotonic behavior with magnetic field.
- Both conductivities increase with quark chemical potential.

## Abstract

We estimate here the electrical and Hall conductivity using a quasiparticle approach for quark matter. We use a Boltzmann kinetic approach in presence of external magnetic field. We confront the results of model calculations with Lattice QCD simulations for vanishing magnetic field. In general electrical conductivity decreases with magnetic field. The Hall conductivity on the other hand can show a non monotonic behaviour with magnetic field due to an intricate interplay of behaviour of relaxation time and strength of the magnetic field. We argue for vanishing quark chemical potential Hall conductivity vanishes and quark gluon plasma with finite quark chemical potential can show Hall effect. Both electrical conductivity and Hall conductivity increases with increasing quark chemical potential.