Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation

Understand

We consider renormalizable Standard-Model extensions that violate Lorentz symmetry at high energies, but preserve CPT, and do not contain elementary scalar fields.

• A Nambu--Jona-Lasinio mechanism gives masses to fermions and gauge bosons, and generates composite Higgs fields at low energies.
• We study the effective potential at the leading order of the large-N_{c} expansion, prove that there exists a broken phase and study the phase space.
• In general, the minimum may break invariance under boosts, rotations and CPT, but we give evidence that there exists a Lorentz invariant phase.