Very Special Relativity: uma proposta de violação de Lorentz

Abstract

In Very Special Relativity: a idea of Lorentz violation, we address the new relativity theory proposed by Andrew G. Cohen and Sheldon L. Glashow, its various applications and unique features. In the beginning, we briefly review the main concepts of Special Relativity and Group Theory, tools needed for building the Very Special Relativity (VSR) symmetry group, especially SIM (2), a proper subgroup of Lorentz group, which replicates all fundamental properties of Einsteinian Relativity. Subsequently, we deepen the corrections of the Dirac Equation, specifically nonlocal operator that carries out such corrections and the naturally appearance of the neutrino’s mass. After that, we discuss how the Cohen and Glashow’s model operates as electromagnetic interactions are taken into account; in this regard, we refer to ideas of gauge fields and explore minimal coupling of electromagnetic fields for VSR. With these two notions, we can propose a nonminimal coupling term in an attempt to replicate the Dirac Oscillator potential. Finally, we expect this work to encourage future productions in Very Special Relativity or in other models of Lorentz Violation, besides we expect to extol the importance of Group Theory in the high-energy physics.