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

Understand

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.