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Causality and radiatively induced CPT violation

arXiv:hep-th/0105037 · doi:10.1016/S0370-2693(01)00678-5

Abstract

We consider quantum electrodynamics with an additional Lorentz- and CPT-violating axial-vector term in the fermionic sector and discuss the possibility that radiative corrections induce a Lorentz- and CPT-violating Chern-Simons-like term for the gauge field. From the requirement of causality and the assumed validity of perturbation theory, we conclude that the induced Chern-Simons-like term must be absent in the full quantum field theory.

LaTeX, 12 pages, 2 PS figures, v3: to appear in PLB