Gupta-Bleuler Photon Quantization in the SME

Abstract

Photon quantization is implemented in the standard model extension (SME) using the Gupta-Bleuler method and BRST concepts. The quantization prescription applies to both the birefringent and non-birefringent CPT-even couplings. A curious incompatibility is found between the presence of the Lorentz-violating terms and the existence of a nontrivial conjugate momentum ${\Pi }^0$ yielding problems with covariant quantization procedure. Introduction of a mass regulator term can avoid the vanishing of ${\Pi }^0$ and allows for the implementation of a covariant quantization procedure. Field-theoretic calculations involving the SME photons can then be performed using the mass regulator, similar to the conventional procedure used in electrodynamics for infrared-divergence regulation.

13 pages

References in corpus (2)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Quantum field theory based on birefringent modified Maxwell theory

Cited by in corpus (20)

• What Do We Know About Lorentz Invariance?
• Classical-physics applications for Finsler $b$ space
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Quantization and stability of bumblebee electrodynamics
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the photon sector
• Quantum field theoretic properties of Lorentz-violating operators of nonrenormalizable dimension in the fermion sector
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Quantum field theory based on birefringent modified Maxwell theory
• Eikonal approximation, Finsler structures, and implications for Lorentz-violating photons in weak gravitational fields
• Anomalous Casimir effect in axion electrodynamics
• Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• Covariant Quantization of CPT-violating Photons
• Cherenkov Radiation with Massive, CPT-violating Photons
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Gupta-Bleuler's quantization of a parity-odd CPT-even electrodynamics of the standard model extension