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arXiv · 1512.04299

Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension

M. Schreck
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Abstract

This article is devoted to finding classical point-particle equivalents for the fermion sector of the nonminimal Standard-Model Extension (SME). For a series of nonminimal operators, such Lagrangians are derived at first order in Lorentz violation using the algebraic concept of Gr\"obner bases. Subsequently, the Lagrangians serve as a basis for reanalyzing the results of certain kinematic tests of Special Relativity that were carried out in the last century. Thereby, a number of new constraints on coefficients of the nonminimal SME is obtained. In the last part of the paper we point out connections to Finsler geometry.

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M. Schreck. 2015-12-14. Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension. https://doi.org/10.1103/physrevd.93.105017

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