Efeitos da compactação de dimensões extras violando a invariância de Lorentz na teoria de campos.

Abstract

In this work, we considered the proposition that the spontaneous Lorentz invariance violation (sLIV) is related to extra dimensions compactification, described by a vector “aether” field, where such compactification is done without invoking branes. In such a background, interactions of other fields with the aether can lead to modified dispersion relations, increasing the mass of the Kaluza-Klein excitations. The mass scale characterizing each Kaluza-Klein tower can be chosen independently for each species of scalar, fermion, and gauge boson. Both in the scalar sector and in the gauge field sector the mass separations are similar, however in the case of fermions there is a greater valorization. In the gauge field we study the consistency of this theory, where we perceive that the dispersion relation was modified, characterizing a medium from the interaction with ether. The associated propagator, modified due to interaction with the aether, preserves the property of unitarity and the energy-momentum tensor is antisymmetric, emphasizing the absence of the Lorentz invariance. The energy density that is gauge invariant is strengthened by the contribution of the extra dimension and the ether field.