Noncommutative relativistic particle on the electromagnetic background

A. A. Deriglazov

Division for Nuclear-Fuel Cycle

Research output: Contribution to journal › Article

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

Fingerprint

Keywords

Noncommutative geometry
Relativistic invariance

ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

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

@article{7506abb761904e35876a0d9d46c2c50e,

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 = "2",

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",

}

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

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

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

ER -

Access to Document

10.1016/S0370-2693(03)00061-3