Hamiltonian analysis in Lie-Poisson gauge theory

Abstract

Lie-Poisson gauge formalism provides a semiclassical description of noncommutative $U(1)$ gauge theory with Lie algebra type noncommutativity. Using the Dirac approach to constrained Hamiltonian systems, we focus on a class of Lie-Poisson gauge models, which exhibit an admissible Lagrangian description. The underlying noncommutativity is supposed to be purely spatial. Analysing the constraints, we demonstrate that these models have as many physical degrees of freedom as there are present in the Maxwell theory.

15 pages, to appear in IJGMMP

References in corpus (3)

• $k$-Minkowski-deformation of $U(1)$ gauge theory
• Poisson gauge models and Seiberg-Witten map
• Spectral Noncommutative Geometry, Standard Model and all that

Cited by in corpus (3)

• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Light Propagation in $\kappa$-Minkowski Space-Time: Gauge Ambiguities and Invariance
• Symplectic realization of generalized Snyder-Poisson algebra