Strong magnetic fields in gauge theories

Authors

  • Hugo Celso Pérez Rojas Instituto de Cibernética, Matemática y Física
  • Jorge Luis Acosta Ávalo Instituto Superior de Tecnologías y Ciencias Aplicadas. Universidad de la Habana

DOI:

https://doi.org/10.31349/RevMexFisE.18.020209

Keywords:

Magnetic Fields, QED, Standard Model

Abstract

The problem of photon propagation in a medium in presence of a strong magnetic field in the frame of quantum electrodynamics is discussed in the present paper, based on previous literature in this area. The breaking of the spatial symmetry by the magnetic field determine the existence of a set of basic vectors and tensors which must satisfy the gauge and CPT invariance of quantum electrodynamics. The charge symmetric and non-symmetric cases are discussed. In the second case the Faraday effect is produced. A chiral current arises, associated to a pseudovector eigenvector of
the polarization operator (due to the breaking of the spatial symmetry by the external magnetic field), related to the so-called axial anomaly. The path integrals and functional derivation are widely used to obtain the self-energy and vertex operators, and the Dyson equations. The inadequate introduction of a chiral chemical potential in the standard model is discussed for the Weinberg-Salam model for electroweak interactions.

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Published

2021-07-02

How to Cite

[1]
H. C. Pérez Rojas and J. L. Acosta Ávalo, “Strong magnetic fields in gauge theories”, Rev. Mex. Fis. E, vol. 18, no. 2 Jul-Dec, pp. 020209 1–25, Jul. 2021.

Issue

Vol. 18 No. 2 Jul-Dec (2021): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2021 Hugo Celso Pérez Rojas, Jorge Luis Acosta Ávalo

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.