The electromagnetic field in Poisson gauge theory: the groupoidal approach

2025/10/06 by Di Cosmo, Fabio, Kupriyanov, Vladislav G., Vitale, Patrizia · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2510.04858

Abstract

We consider the problem of defining the field strength of abelian potentials when the spacetime is a Poisson manifold, within the groupoidal approach. The natural definition in terms of gauge invariant momenta is proved to be equivalent to covariant and invariant tensors of a local symplectic groupoid representing a symplectic realization of the Poisson manifold. A Poisson Chern-Simons model is then proposed and its equations of motion are shortly discussed.

Citations

• Action principle for κ-Minkowski noncommutative U(1) gauge theory from Lie-Poisson electrodynamics
• Charged Particle in Lie-Poisson Electrodynamics
• Symplectic realizations and Lie groupoids in Poisson Electrodynamics
• Symplectic Groupoids and Poisson Electrodynamics
• The beauty of curved momentum space
• A Groupoid Approach to Quantization
• Prequantization and Lie brackets
• Integrability of Poisson brackets
• Integrability of Lie brackets

Cited by

• Light Propagation in κ-Minkowski Space-Time: Gauge Ambiguities and Invariance

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