Dynamically broken Lorentz invariance from the Higgs sector?

TL;DR

This paper proposes a mechanism where adding a scalar to the Higgs sector leads to a time-dependent solution that dynamically breaks Lorentz invariance, potentially affecting particle interactions and neutrino velocities.

Contribution

It demonstrates a novel dynamical Lorentz invariance breaking mechanism within extended Higgs models that preserves original particle masses.

Findings

Existence of a time-dependent homogeneous solution causing DBLI

DBLI could influence scalar interactions at TeV scale

Potential implications for neutrino superluminality

Abstract

The original Abelian U(1) Higgs model in flat spacetime is enlarged by the addition of one real scalar with a particular potential. It is then shown that, while maintaining the original masses of the vector boson and Higgs scalar, there exists a time-dependent homogeneous solution of the classical field equations, which corresponds to dynamical breaking of Lorentz invariance (DBLI). The same DBLI mechanism holds for the standard model enlarged by the addition of a real isosinglet scalar with an appropriate potential. The resulting DBLI with an assumed TeV energy scale would manifest itself primarily in the interactions of the two scalar particles. In principle, this DBLI could feed into the neutrino sector and give rise to a superluminal maximum velocity.