DOAJ Open Access 2023

Lie-Poisson gauge theories and κ-Minkowski electrodynamics

V. G. Kupriyanov M. A. Kurkov P. Vitale

Abstrak

Abstract We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity. We prove an important identity, which allows to obtain simple and manifestly gauge-covariant expressions for the Euler-Lagrange equations of motion, the Bianchi and the Noether identities. We discuss the non-Lagrangian equations of motion, and apply our findings to the κ-Minkowski case. We construct a family of exact solutions of the deformed Maxwell equations in the vacuum. In the classical limit, these solutions recover plane waves with left-handed and right-handed circular polarization, being classical counterparts of photons. The deformed dispersion relation appears to be nontrivial.

Topik & Kata Kunci

Nuclear and particle physics. Atomic energy. Radioactivity

Penulis (3)

V. G. Kupriyanov

M. A. Kurkov

P. Vitale

Format Sitasi

APA MLA BibTeX

Kupriyanov, V.G., Kurkov, M.A., Vitale, P. (2023). Lie-Poisson gauge theories and κ-Minkowski electrodynamics. https://doi.org/10.1007/JHEP11(2023)200

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1007/JHEP11(2023)200
Akses: Open Access ✓