46 citations · 441 across the 30 of their papers we have counts for
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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…
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…
Lie-Poisson gauge theories and -Minkowski electrodynamics
V. G. Kupriyanov, M. A. Kurkov, P. Vitale
We consider gauge theories on Poisson manifolds emerging as semiclassical approximations of noncommutative spacetime with Lie algebra type noncommutativity. We prove an important i…