Lorentz Violation and the Higgs Mechanism

Abstract

We consider scalar quantum electrodynamics in the Higgs phase and in the presence of Lorentz violation. Spontaneous breaking of the gauge symmetry gives rise to Lorentz-violating gauge field mass terms. These may cause the longitudinal mode of the gauge field to propagate superluminally. The theory may be quantized by the Faddeev-Popov procedure, although the Lagrangian for the ghost fields also needs to be Lorentz violating.

15 pages

References in corpus (16)

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• Preferred-Frame and CP-Violation Tests with Polarized Electrons
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
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• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Massive photons and Lorentz violation
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• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Probing Lorentz violation with Doppler-shift experiments
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation

Cited by in corpus (18)

• What Do We Know About Lorentz Invariance?
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Lorentz violation in neutron and allowed nuclear beta decay
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Exploration of Lorentz violation in neutral-kaon decay
• One-loop structure of the photon propagator in the Standard Model Extension
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• One-loop calculations in CPT-even Lorentz-breaking scalar QED
• Dual embedding of extended models with a Lorentz-breaking mass term
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Lorentz Violation in Fermion-Antifermion Decays of Spinless Particles
• Residual gauge-invariance in a massive Lorentz-violating extension of QED
• Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background