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Non-Lorentzian expansions of the Lorentz force and kinematical algebras

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arxiv 2310.15245 v1 pith:XVBOF4R4 submitted 2023-10-23 hep-th

José Luis V. Cerdeira , Joaquim Gomis , Axel Kleinschmidt This is my paper · ORCID
classification hep-th
keywords algebrasexpansionsfieldforcelorentznon-lorentziancalledcarrollian
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We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field, called electric and magnetic, that are studied separately. We show that the resulting equations of motion follow equivalently from considering a non-linear realisation of a certain infinite-dimensional algebras.

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  1. Interacting Galilean and Finite-Energy Carroll Fermions

    hep-th 2026-08 conditional novelty 7.0 of 10

    A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.

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