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 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.
| 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 | |
| Publication status | Published - 27 Feb 2003 |
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Keywords
- Noncommutative geometry
- Relativistic invariance
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Noncommutative relativistic particle on the electromagnetic background. / Deriglazov, A. A.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 555, No. 1-2, 27.02.2003, p. 83-88.Research output: Contribution to journal › Article
}
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
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 -