Abstract
The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction — the axial coupling of fermions with a constant vector field bμ — is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory.
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ArXiv ePrint: 1709.09756
In honor of Prof. Manfred Schweda (1939-2017)
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Del Cima, O., Franco, D. & Piguet, O. No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences. J. High Energ. Phys. 2017, 11 (2017). https://doi.org/10.1007/JHEP11(2017)011
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DOI: https://doi.org/10.1007/JHEP11(2017)011