Riemann–Finsler geometry and Lorentz-violating scalar fields

Edwards, Benjamin R.; Kostelecký, V. Alan

doi:10.1016/j.physletb.2018.10.011

Title: Riemann–Finsler geometry and Lorentz-violating scalar fields

Journal Article · 08 October 2018 · Physics Letters. B

DOI: https://doi.org/10.1016/j.physletb.2018.10.011 · OSTI ID:1596932

Edwards, Benjamin R. ^[1]; Kostelecký, V. Alan ^[2]

Indiana Univ., Bloomington, IN (United States); Indiana University
Indiana Univ., Bloomington, IN (United States)

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.

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Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0010120

OSTI ID:: 1596932

Journal Information:: Physics Letters. B, Journal Name: Physics Letters. B Journal Issue: C Vol. 786; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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