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hep-th2024
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…
hep-th2024
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…
hep-th2024★ 3 cited
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…