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Galilean Electrodynamics: Covariant formulation and Lagrangian

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Mehra,  Aditya Singh
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Mehra, A. S., & Sanghavi, Y. (2021). Galilean Electrodynamics: Covariant formulation and Lagrangian. Journal of High Energy Physics, 2021(9): 78. doi:10.1007/JHEP09(2021)078.


Cite as: https://hdl.handle.net/21.11116/0000-0008-E44E-0
Abstract
In this paper, we construct a single Lagrangian for both limits of Galilean
electrodynamics. The framework relies on a covariant formalism used in
describing Newton-Cartan geometry. We write down the Galilean conformal algebra
and its representation in this formalism. We also show that the Lagrangian is
invariant under the Galilean conformal algebra in d = 4 and calculate the
energy-momentum tensor.