2025/09/03 by Kurkov, Maxim · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2509.03714
Lie-Poisson electrodynamics describes a semi-classical approximation of noncommutative U(1) gauge theories with Lie-algebra-type noncommutativities. We obtain a gauge-invariant local classical action with the correct commutative limit for a generic Lie-Poisson gauge model. At the semi-classical level, our results provide a relatively simple solution to the old problem of constructing an admissible Lagrangian formulation for the U(1) gauge theory on the four-dimensional κ-Minkowski space-time. In particular, we derive an explicit expression for the classical action which yields the deformed Maxwell equations previously proposed in JHEP 11 (2023) 200 for this noncommutativity on general grounds.