We study issues of Lorentz violation symmetry in the context of the recently proposed theory of noncommutative fields [J. Carmona, J. L. Cortés, J. Gamboa, and F. Méndes, J. High Energy Phys. 03 (2003) 058; Phys. Lett. B 565, 222 (2003).], using the soldering formalism. To this end a noncommutative chiral boson with a deformed algebra [A. Das, J. Gamboa, F. Méndes, and J. Lópes-Sarrión, J. High Energy Phys. 05 (2004) 022.], 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 subset 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.

• Received 7 December 2004

DOI:https://doi.org/10.1103/PhysRevD.71.065004