GOIS, J. P. L.; GOIS, João Paulo Lopes.
Resumen:
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.