Realization of Cohen-Glashow Very Special Relativity on Noncommutative Space-Time

Journal Article · Tue Dec 30 23:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.101.261601· OSTI ID:21180072

Sheikh-Jabbari, M M ^[1]; Tureanu, A ^[2]

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1. School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran (Iran, Islamic Republic of)
2. Department of Physics, University of Helsinki and Helsinki Institute of Physics, P.O. Box 64, FIN-00014 Helsinki (Finland)

We show that the Cohen-Glashow very special relativity (VSR) theory [A. G. Cohen and S. L. Glashow, Phys. Rev. Lett. 97, 021601 (2006)] can be realized as the part of the Poincare symmetry preserved on a noncommutative Moyal plane with lightlike noncommutativity. Moreover, we show that the three subgroups relevant to VSR can also be realized in the noncommutative space-time setting. For all of these three cases, the noncommutativity parameter {theta}{sup {mu}}{sup {nu}} should be lightlike ({theta}{sup {mu}}{sup {nu}}{theta}{sub {mu}}{sub {nu}}=0). We discuss some physical implications of this realization of the Cohen-Glashow VSR.

• OSTI ID: 21180072
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 101; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMMUTATION RELATIONS
POINCARE GROUPS
RELATIVITY THEORY
SPACE-TIME
SYMMETRY