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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Retarded correlators of charge transport in a magnetic field

  • Xuan Zhao1
  • Qiuze Sun1
  • Yi Wang1
  • Jin Hu2
  1. 1Tsinghua University
  2. 2Fuzhou University
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Abstract

We study charge transport in a magnetized relativistic plasma using kinetic theory within the relaxation-time approximation. By exactly solving the linearized Boltzmann equation in a uniform magnetic field, we obtain an analytic solution for the distribution function in terms of Bessel functions. Using this solution, we compute the full set of retarded current-current correlators and verify the Ward identities. In the hydrodynamic limit, we extract the charge diffusion modes, demonstrating that the transverse diffusion coefficient is strongly suppressed by the magnetic field, scaling as 1/B02 in the strong-field regime, while the longitudinal diffusion remains unaffected. Furthermore, we analyze the non-hydrodynamic branch cuts in the complex frequency plane, determining their kinematic thresholds and identifying the underlying wave-particle interactions as longitudinal Landau damping and transverse cyclotron damping.

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Cite

BibTeXRIS
BibTeX
@article{zhao2026retarded,
  title = {{Retarded correlators of charge transport in a magnetic field}},
  author = {Xuan Zhao and Qiuze Sun and Yi Wang and Jin Hu},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)074},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)074},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Retarded correlators of charge transport in a magnetic field
AU  - Xuan Zhao
AU  - Qiuze Sun
AU  - Yi Wang
AU  - Jin Hu
PY  - 2026
DA  - 2026/11/06
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)074
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)074
AB  - We study charge transport in a magnetized relativistic plasma using kinetic theory within the relaxation-time approximation. By exactly solving the linearized Boltzmann equation in a uniform magnetic field, we obtain an analytic solution for the distribution function in terms of Bessel functions. Using this solution, we compute the full set of retarded current-current correlators and verify the Ward identities. In the hydrodynamic limit, we extract the charge diffusion modes, demonstrating that the transverse diffusion coefficient is strongly suppressed by the magnetic field, scaling as 1/B_0^2 in the strong-field regime, while the longitudinal diffusion remains unaffected. Furthermore, we analyze the non-hydrodynamic branch cuts in the complex frequency plane, determining their kinematic thresholds and identifying the underlying wave-particle interactions as longitudinal Landau damping and transverse cyclotron damping.
SN  - 1029-8479
ER  -