Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension

Details Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension

2009-09-02

arxiv.org/abs/0909.0544v3

Phys.Rev.D80:125040,2009

Physics

High Energy Physics

High Energy Physics - Theory

revtex style, 12 pages, final version published in PRD

Scientific paper

10.1103/PhysRevD.80.125040

In this work, we explicitly evaluate the gauge propagator of the Maxwell theory supplemented by the CPT-even term of the SME. First, we specialize our evaluation for the parity-odd sector of the tensor $W_{\mu \nu \rho \sigma}$,\ using a parametrization that retains only the three nonbirefringent coefficients. From the poles of the propagator, it is shown that physical modes of this electrodynamics are stable, non-causal and unitary. In the sequel, we carry out the parity-even gauge propagator using a parametrization that allows to work with only the isotropic nonbirefringent element. In this case, we show that the physical modes of the parity-even sector of the tensor $W$ are causal, stable and unitary for a limited range of the isotropic coefficient.

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