Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED

Details Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED

2008-04-22

arxiv.org/abs/0804.3537v2

Eur.Phys.J.C56:571-578,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures

Scientific paper

10.1140/epjc/s10052-008-0677-4

The radiative induction of the CPT and Lorentz violating Chern-Simons (CS) term is reassessed. The massless and massive models are studied. Special attention is given to the preservation of gauge symmetry at higher orders in the background vector $b_\mu$ when radiative corrections are considered. Both the study of the odd and even parity sectors of the complete vacuum polarization tensor at one-loop order and a non-perturbative analysis show that this symmetry must be preserved by the quantum corrections. As a complement we obtain that transversality of the polarization tensor does not fix the value of the coefficient of the induced CS term.

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