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Journal Article

Non-Lorentzian expansions of the Lorentz force and kinematical algebras

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Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2310.15245.pdf
(Preprint), 355KB

JHEP01(2024)023.pdf
(Publisher version), 504KB

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Citation

Cerdeira, J. L. V., Gomis, J., & Kleinschmidt, A. (2024). Non-Lorentzian expansions of the Lorentz force and kinematical algebras. Journal of High Energy Physics, 2024(1): 23. doi:10.1007/JHEP01(2024)023.


Cite as: https://hdl.handle.net/21.11116/0000-000E-4121-3
Abstract
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.