Yang-Mills-Higgs models with higher order derivatives
arXiv:1209.6456 · doi:10.1103/PhysRevD.86.125006
Abstract
Models with higher order derivative terms in the kinetic energy appear not only as effective theories, they can be considered as elementary, renormalizable models in their own right. The extension of Higgs mechanism is discussed for Yang-Mills-Higgs models where the kinetic energy of the scalar field contains higher order derivatives. The connection term of the covariant derivatives generates a local potential for the gauge field in the phase with spontaneously broken global gauge symmetry which may break Lorentz symmetry in the vacuum. Relativistic, massless gauge bosons spectrum is found for small fluctuations where the only remnant of the breakdown of the Lorentz symmetry is a shift of the energy induced by the expectation value of the temporal component of the gauge field, reminiscent of a chemical potential.
15 pages, no figures
References in corpus (9)
- Quantum Gravity at a Lifshitz Point
- Lorentz symmetry breaking as a quantum field theory regulator
- Renormalization of Lorentz violating theories
- Spontaneous Breaking of Lorentz Invariance
- On Higher Spatial Derivative Field Theories
- Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as Pseudo-Goldstone Vector Bosons
- Deriving Gauge Symmetry and Spontaneous Lorentz Violation
- Spontaneous breakdown of Lorentz symmetry in scalar QED with higher order derivatives
- Boundary conditions and consistency of effective theories