Lorentz Violation and Faddeev-Popov Ghosts

Abstract

We consider how Lorentz-violating interactions in the Faddeev-Popov ghost sector will affect scalar QED. The behavior depends sensitively on whether the gauge symmetry is spontaneously broken. If the symmetry is not broken, Lorentz violations in the ghost sector are unphysical, but if there is spontaneous breaking, radiative corrections will induce Lorentz-violating and gauge-dependent terms in other sectors of the theory.

13 pages

References in corpus (5)

• Lorentz-Violating Electrostatics and Magnetostatics
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• Velocity in Lorentz-Violating Fermion Theories

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• One-Loop Renormalization of QCD with Lorentz Violation
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Lorentz Violation and the Higgs Mechanism
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• One-loop structure of the photon propagator in the Standard Model Extension
• Bimetric QED
• Influence of Lorentz-violating terms on a two-level system
• General Formalism For the BRST Symmetry