1202.0531 (F. R. Klinkhamer)

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

F. R. Klinkhamer

The well-known Abelian U(1) Higgs model in Minkowski spacetime is extended by
adding two charged scalars with a special potential. It is then shown (most
likely, not for the first time) that 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