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.
Digital Object Identifier (DOI)
Physical Review D, Volume 86, Issue 4, 2012.
© 2012 American Physical Society
Altschul, B. (2012). Lorentz violation and the Higgs mechanism. Physical Review D, 86(4). https://doi.org/10.1103/physrevd.86.045008