Lorentz Violation and Faddeev-Popov Ghosts
B. Altschul
TL;DR
This paper investigates how Lorentz-violating interactions in the ghost sector influence scalar QED, revealing that physical effects depend on whether gauge symmetry is spontaneously broken, with potential Lorentz violations induced radiatively.
Contribution
It analyzes the impact of Lorentz violation in the ghost sector on scalar QED, highlighting the role of spontaneous symmetry breaking in physical observability.
Findings
Lorentz violations in the ghost sector are unphysical if gauge symmetry is unbroken.
Spontaneous symmetry breaking leads to radiative corrections inducing Lorentz-violating terms.
The behavior of Lorentz violation depends critically on the symmetry-breaking status.
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.
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