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arXiv · 2404.01388

Electrical conductivity of hot relativistic plasma in a strong magnetic field

Ritesh Ghosh·Igor A. Shovkovy
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Abstract

We employ first-principles quantum field theoretical methods to investigate the longitudinal and transverse electrical conductivities of a strongly magnetized hot quantum electrodynamics (QED) plasma at the leading order in coupling. The analysis employs the fermion damping rate in the Landau-level representation, calculated with full kinematics and exact amplitudes of one-to-two and two-to-one QED processes. In the relativistic regime, both conductivities exhibit an approximate scaling behavior described by $\sigma_{\parallel,\perp} = T \tilde{\sigma}_{\parallel,\perp}$, where $\tilde{\sigma}_{\parallel,\perp}$ are functions of the dimensionless ratio $|eB|/T^2$ (with $T$ denoting temperature and $B$ magnetic field strength). We argue that the mechanisms for the transverse and longitudinal conductivities differ significantly, leading to a strong suppression of the former in comparison to the latter.

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Ritesh Ghosh, Igor A. Shovkovy. 2024-04-01. Electrical conductivity of hot relativistic plasma in a strong magnetic field. https://doi.org/10.1103/physrevd.110.096009

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