Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields

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dc.contributor.authorEdwards, B.
dc.contributor.authorKostelecky, V. Alan
dc.date.accessioned2025-02-20T15:53:25Z
dc.date.available2025-02-20T15:53:25Z
dc.date.issued2018-10-09
dc.description.abstractThe 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.
dc.identifier.citationEdwards, B., and Kostelecky, V. Alan. "Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields." Physics Letters B, vol. 786, pp. 319-326, 2018-10-09, https://doi.org/10.1016/j.physletb.2018.10.011.
dc.identifier.otherBRITE 2843
dc.identifier.urihttps://hdl.handle.net/2022/33314
dc.language.isoen
dc.relation.isversionofhttps://doi.org/10.1016/j.physletb.2018.10.011
dc.relation.isversionofhttps://www.sciencedirect.com/science/article/pii/S0370269318307688?via%3Dihub
dc.relation.journalPhysics Letters B
dc.titleRiemann-Finsler Geometry and Lorentz-Violating Scalar Fields

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