Abstract
The -even gauge sector of the standard model extension is composed of 19 components comprised in the tensor , of which nine do not yield birefringence. In this work, we examine the Maxwell electrodynamics supplemented by these nine nonbirefringent -even components in aspects related to the Feynman propagator and full consistency (stability, causality, unitarity). We adopt a prescription that parametrizes the nonbirefringent components in terms of a symmetric and traceless tensor, , and second parametrization that writes in terms of two arbitrary four-vectors, and . We then explicitly evaluate the gauge propagator of this electrodynamics in a tensor closed way. In the sequel, we show that this propagator and involved dispersion relations can be specialized for the parity-odd and parity-even sectors of the tensor . In this way, we reassess some results of the literature and derive some new outcomes showing that the parity-even anisotropic sector engenders a stable, noncausal and unitary electrodynamics.
- Received 13 October 2010
DOI:https://doi.org/10.1103/PhysRevD.82.125006
© 2010 The American Physical Society