1202.0531 (F. R. Klinkhamer)

Spontaneously broken Lorentz invariance from the Higgs sector?    [PDF]

F. R. Klinkhamer

The original Abelian U(1) Higgs model in flat spacetime is extended by adding
two charged scalars with a special potential. It is then shown that, without
changing the mass of the vector boson compared to the original model, there
exist time-dependent homogeneous solutions of the classical field equations,
which correspond to spontaneous breaking of Lorentz invariance (SBLI). The same
SBLI mechanism holds for the standard model extended by adding a second Higgs
isodoublet with an appropriate potential. The resulting SBLI with an assumed
TeV energy scale would manifest itself primarily in the interactions of the
neutral Higgs scalar and the four additional scalars. But this SBLI could also
feed into the neutrino sector and give rise to a superluminal maximum velocity.

View original: http://arxiv.org/abs/1202.0531