Noncommutative relativistic particle on the electromagnetic background

Abstract

A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θ^μv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ⁰ⁱ = 0, Θ^ij = const. The matrix Θ^ij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

Original language	English
Pages (from-to)	83-88
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	555
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(03)00061-3
Publication status	Published - 27 Feb 2003

Keywords

Noncommutative geometry
Relativistic invariance

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0370-2693(03)00061-3

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Deriglazov, A. A. (2003). Noncommutative relativistic particle on the electromagnetic background. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 555(1-2), 83-88. https://doi.org/10.1016/S0370-2693(03)00061-3

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AB - A noncommutative version of D-dimensional relativistic particle is proposed. We consider the particle interacting with the configuration space variable Θμv(τ) instead of the numerical matrix. The corresponding Poincaré invariant action has a local symmetry, which allows one to impose the gauge Θ0i = 0, Θij = const. The matrix Θij turns out to be the noncommutativity parameter of the gauge fixed formulation. Poincaré transformations of the gauge fixed formulation are presented in a manifest form. Consistent coupling of NC relativistic particle to the electromagnetic field is constructed and discussed.

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