Phys. Rev. Lett. 101, 261601 (2008) [4 pages]Realization of Cohen-Glashow Very Special Relativity on Noncommutative Space-TimeReceived 25 June 2008; published 24 December 2008 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 Poincaré 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 θμν should be lightlike (θμνθμν=0). We discuss some physical implications of this realization of the Cohen-Glashow VSR. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.261601
DOI:
10.1103/PhysRevLett.101.261601
PACS:
11.30.Cp, 03.30.+p, 11.10.Nx
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