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 𝜎∥,⊥=𝑇⁢˜𝜎∥,⊥, where ˜𝜎∥,⊥ are functions of the dimensionless ratio |𝑒⁢𝐵|/𝑇2 (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.

中文翻译：

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热相对论等离子体在强磁场中的电导率


我们采用第一性原理量子场论方法来研究强磁化热量子电动力学 （QED） 等离子体在耦合中处于领先阶的纵向和横向电导率。该分析采用朗道能级表示的费米子阻尼率，使用完整的运动学和一对二和二对一 QED 过程的精确振幅计算。在相对论状态下，两种电导率都表现出由 σ∥，⊥=T ̃ σ∥，⊥ 描述的近似缩放行为，其中 ̃ σ∥，⊥ 是无量纲比 |eB|/T2 的函数（其中 T 表示温度和 B 磁场强度）。我们认为横向和纵向传导率的机制差异很大，导致与后者相比，前者受到强烈抑制。