2004/11/30 by Éverton M. C. Abreu, E. M. C. Abreu, R. Menezes +1 · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Cosmology and Gravitation Theories #Formalism (music) #Geometry #Goldstone boson #Lorentz covariance #Lorentz group #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum mechanics #Scalar (mathematics) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.71.065004
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 71(6) (American Physical Society) · Revtex file, 9 pages. Final version to appear in Physical Review D
arxiv created 2005/03/07 · openalex publication_date 2005/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study issues of Lorentz violation symmetry in the context of the recently proposed theory of noncommutative fields [J. Carmona, J. L. Cort'es, J. Gamboa, and F. M'endes, 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. M'endes, and J. L'opes-Sarri'on, 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.