Year: 2014
Type: article
Abstract: Photon quantization is implemented in the standard model extension (SME) using the Gupta-Bleuler method and Becchi-Rouet-Stora-Tyutin concepts. The quantization prescription applies to both the birefringent and nonbirefringent $CPT$-even couplings. A curious incompatibility is found between the presence of the Lorentz-violating terms and the existence of a nontrivial conjugate momentum ${\mathrm{\ensuremath{\Pi}}}^{0}$ yielding problems with covariant quantization procedure. An introduction of a mass regulator term can avoid the vanishing of ${\mathrm{\ensuremath{\Pi}}}^{0}$ 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.
Authors: Don Colladay, Patrick McDonald, Robertus Potting
Institution: New College of Florida
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2505170282