Classical Lagrangians for Momentum Dependent Lorentz Violation
Don Colladay, Patrick McDonald
TL;DR
This paper derives classical Lagrangians for specific momentum-dependent Lorentz-violating terms in the SME, revealing new Finsler structures and a simple covariant Lagrangian, expanding the mathematical understanding of Lorentz violation.
Contribution
It introduces new solvable classical Lagrangians for momentum-dependent Lorentz-violating terms, including a novel covariant Lagrangian and examples of Finsler structures.
Findings
New simple classical Lagrangians for Lorentz-violating terms
Identification of novel Finsler and pseudo-Finsler structures
A covariant Lagrangian involving antisymmetric d-type terms
Abstract
Certain momentum-dependent terms in the fermion sector of the Lorentz-violating Standard Model Extension (SME) yield solvable classical lagrangians of a type not mentioned in the literature. These cases yield new relatively simple examples of Finsler and pseudo-Finsler structures. One of the cases involves antisymmetric -type terms and yields a new example of a relatively simple covariant lagrangian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.