Electrical conductivity of hot relativistic plasma in a strong magnetic field
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913573958057984 |
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| author | Ghosh, Ritesh Shovkovy, Igor A. |
| author_facet | Ghosh, Ritesh Shovkovy, Igor A. |
| contents | 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 $σ_{\parallel,\perp} = T \tildeσ_{\parallel,\perp}$, where $\tildeσ_{\parallel,\perp}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrical conductivity of hot relativistic plasma in a strong magnetic field Ghosh, Ritesh Shovkovy, Igor A. High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory 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 $σ_{\parallel,\perp} = T \tildeσ_{\parallel,\perp}$, where $\tildeσ_{\parallel,\perp}$ 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. |
| title | Electrical conductivity of hot relativistic plasma in a strong magnetic field |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2404.01388 |