Finsler-like structures from Lorentz-breaking classical particles
High Energy Physics - Theory
2015-09-25 v1
Abstract
A method is presented for deducing classical point-particle Lagrange functions corresponding to a class of quartic dispersion relations. Applying this to particles violating Lorentz symmetry in the minimal Standard-Model Extension leads to a variety of novel lagrangians in flat spacetime. Morphisms in these classical systems are studied that echo invariance under field redefinitions in the quantized theory. The Lagrange functions found offer new possibilities for understanding Lorentz-breaking effects by exploring parallels with Finsler-like geometries.
Cite
@article{arxiv.1501.02490,
title = {Finsler-like structures from Lorentz-breaking classical particles},
author = {Neil Russell},
journal= {arXiv preprint arXiv:1501.02490},
year = {2015}
}
Comments
18 pages, latex. To appear in Physical Review D