Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
Abstract
The correspondence between Riemann-Finsler geometries and effective field theories with spin-independent Lorentz violation is explored. We obtain the general quadratic action for effective scalar field theories in any spacetime dimension with Lorentz-violating operators of arbitrary mass dimension. Classical relativistic point-particle lagrangians are derived that reproduce the momentum-velocity and dispersion relations of quantum wave packets. The correspondence to Finsler structures is established, and some properties of the resulting Riemann-Finsler spaces are investigated. The results provide support for open conjectures about Riemann-Finsler geometries associated with Lorentz-violating field theories.
Keywords
Cite
@article{arxiv.1809.05535,
title = {Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields},
author = {Benjamin R. Edwards and Alan Kostelecky},
journal= {arXiv preprint arXiv:1809.05535},
year = {2018}
}
Comments
9 pages, version published in Physics Letters B