Dynamically broken Lorentz invariance from the Higgs sector?
arXiv:1202.0531
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.
arXiv comment16 pages, v5: improved title, added subsection on nonstandard Higgs physics
References in corpus (14)
- New Constraints on Neutrino Velocities
- Probing Lorentz and CPT violation with space-based experiments
- Higher spin fields and the problem of cosmological constant
- Self-tuning vacuum variable and cosmological constant
- Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics
- Spacetime foam, CPT anomaly, and photon propagation
- Bose-Einstein condensation of magnons in superfluid 3He
- Lorentz and CPT Violation in the Higgs Sector
- Interpreting OPERA results on superluminal neutrino
- Possible solution to the main cosmological constant problem
- Could the dynamical Lorentz symmetry breaking induce the superluminal neutrinos?
- Superluminal neutrino, flavor, and relativity
- Constraint on super-luminal neutrinos from vacuum Cerenkov processes
- Neutrino mass and the Standard Model