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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title = "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 Θμv(τ) instead of the numerical matrix. The corresponding Poincar{\'e} 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. Poincar{\'e} 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.",

keywords = "Noncommutative geometry, Relativistic invariance",

author = "Deriglazov, {A. A.}",

year = "2003",

month = feb,

day = "27",

doi = "10.1016/S0370-2693(03)00061-3",

language = "English",

volume = "555",

pages = "83--88",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "1-2",

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TY - JOUR

T1 - Noncommutative relativistic particle on the electromagnetic background

AU - Deriglazov, A. A.

PY - 2003/2/27

Y1 - 2003/2/27

N2 - 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.

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.

KW - Noncommutative geometry

KW - Relativistic invariance

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UR - http://www.scopus.com/inward/citedby.url?scp=0037468375&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(03)00061-3

DO - 10.1016/S0370-2693(03)00061-3

M3 - Article

AN - SCOPUS:0037468375

VL - 555

SP - 83

EP - 88

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2