On the Lorentz symmetry of the noncommutative chiral bosons

Details On the Lorentz symmetry of the noncommutative chiral bosons On the Lorentz symmetry of the noncommutative chiral bosons

2004-11-26

arxiv.org/abs/hep-th/0411248v3

Phys.Rev. D71 (2005) 065004

Physics

High Energy Physics

High Energy Physics - Theory

Revtex file, 9 pages. Final version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.71.065004

We study issues of Lorentz violation symmetry in the context of the recently proposed theory of noncommutative fields \cite{CCGM}, using the soldering formalism. To this end a noncommutative chiral-boson with a deformed algebra \cite{DGMJ}, used to study these notions in D=2, is properly generalized. We verify, also for this larger group of theories that, although the structure of the Lorentz group is preserved, the velocity of light is scaled by a function of the deformation parameter, as recently claimed. However, we found a sub-set of models where the velocity of propagation is maintained in spite of the presence of the deformed algebra. Effects of a preferred-frame of reference manifest by the presence of birefringence were also studied in the chiral boson framework leading to the scalar sector of the extended Standard Model recently proposed.

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