46 citations · 441 across the 30 of their papers we have counts for
31 papers
Symmetries and Conservation Laws in Lie-Poisson Electrodynamics
M. A. Kurkov
Lie-Poisson electrodynamics (LPE) is a non-Abelian and nonlinear deformation of usual electrodynamics, where the gauge algebra is defined through a Lie-algebra-type Poisson bracket…
Light Propagation in -Minkowski Space-Time: Gauge Ambiguities and Invariance
M. A. Kurkov
We study the noncommutative gauge theory on the -Minkowski space-time at the semiclassical approximation. We construct exact solutions of the deformed Maxwell equations i…
Action principle for -Minkowski noncommutative gauge theory from Lie-Poisson electrodynamics
Maxim Kurkov
Lie-Poisson electrodynamics describes a semiclassical approximation of noncommutative gauge theories with Lie-algebra-type noncommutativities. We obtain a gauge-invariant lo…
Charged Particle in Lie-Poisson Electrodynamics
B. S. Basilio, V. G. Kupriyanov, M. A. Kurkov
Lie-Poisson electrodynamics describes the semi-classical limit of non-commutative gauge theory, characterized by Lie-algebra-type non-commutativity. We focus on the mechanic…
Classical Mechanics in Noncommutative Spaces: Confinement and More
Vladislav Kupriyanov, Maxim Kurkov, Alexey Sharapov
We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is descri…
Hamiltonian analysis in Lie-Poisson gauge theory
Francesco Bascone, Maxim Kurkov
Lie-Poisson gauge formalism provides a semiclassical description of noncommutative gauge theory with Lie algebra type noncommutativity. Using the Dirac approach to constrain…