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Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED

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arxiv hep-th/0008210 v1 pith:Y7AJX6A2 submitted 2000-08-28 hep-th hep-ph

classification hep-thhep-ph
keywords termchern-simonsconditionsfactidentitiesnormalisationsomeward
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We analyse the recent controversy on a possible Chern-Simons like term generated through radiative corrections in QED with a CPT violating term : we prove that, if the theory is correctly defined through Ward identities and normalisation conditions, no Chern-Simons term appears, without any ambiguity. This is related to the fact that such a term is a kind of minor modification of the gauge fixing term, and then no renormalised. The past year literature on that subject is discussed, and we insist on the fact that any absence of an {\sl a priori} divergence should be explained by some symmetry or some non-renormalisation theorem.

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  1. Induced CFJ Term in nonlocal Lorentz-Violating QED: Natural Regularization from Entire Dirac Operators

    hep-th 2026-07 conditional novelty 5.0 of 10

    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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