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Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
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We discuss the regularization and renormalization of QED with Lorentz and CPT violation, and argue that the coefficient of the Chern-Simons term is an independent parameter not determined by gauge invariance. We also study these issues in a model with spontaneous breaking of Lorentz and CPT symmetries and find an explicit relation with the ABJ anomaly. This explains the observed convergence of the induced Chern-Simons term.
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Induced CFJ Term in nonlocal Lorentz-Violating QED: Natural Regularization from Entire Dirac Operators
In nonlocal Lorentz-violating QED with entire form factors of the Dirac operator, the induced CFJ coefficient is finite and equals the local value times a deformation function of m/Λ.
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