Alternative classical Lagrangians for the Standard-Model Extension

Fuente: arXiv
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Autores principales: Reis, João A. A. S., Schreck, Marco, Thibes, Ronaldo
Formato: Preprint
Publicado: 2026
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author Reis, João A. A. S.
Schreck, Marco
Thibes, Ronaldo
author_facet Reis, João A. A. S.
Schreck, Marco
Thibes, Ronaldo
contents The current paper introduces classical, relativistic Lagrangians for point-particle analogs to the field theory description of the Standard-Model Extension (SME) for Lorentz violation. Lagrangians of a form alternative to those derived and studied in previous works are in the spotlight. Interestingly, they have well-defined massless limits, which makes them suitable for describing classical-particle analogs of photons subject to Lorentz violation. We first deal with different types of Dirac fermion coefficients, followed by various configurations of the SME photon sector. The Lagrangians are accompanied by constraints that we treat properly using the techniques due to Dirac. The results encountered may find application in photon propagation through gravitational fields in the presence of spacetime symmetry violation. Connections to Finsler geometry are likely to exist.
format Preprint
id arxiv_https___arxiv_org_abs_2603_06714
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Alternative classical Lagrangians for the Standard-Model Extension
Reis, João A. A. S.
Schreck, Marco
Thibes, Ronaldo
High Energy Physics - Phenomenology
High Energy Physics - Theory
The current paper introduces classical, relativistic Lagrangians for point-particle analogs to the field theory description of the Standard-Model Extension (SME) for Lorentz violation. Lagrangians of a form alternative to those derived and studied in previous works are in the spotlight. Interestingly, they have well-defined massless limits, which makes them suitable for describing classical-particle analogs of photons subject to Lorentz violation. We first deal with different types of Dirac fermion coefficients, followed by various configurations of the SME photon sector. The Lagrangians are accompanied by constraints that we treat properly using the techniques due to Dirac. The results encountered may find application in photon propagation through gravitational fields in the presence of spacetime symmetry violation. Connections to Finsler geometry are likely to exist.
title Alternative classical Lagrangians for the Standard-Model Extension
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2603.06714