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EPJ direct

, Volume 1, Issue 1, pp 1–21 | Cite as

The role of the anomaly cancellation mechanism in the evaluation of the radiatively induced Chern-Simons term in extended QED

  • O. A. Battistel
  • G. Dallabona
Article

Abstract

We consider the possible role played by the anomaly cancellation mechanism in the evaluation of the radiatively induced Chern-Simons (CS) term, arising from the Lorentz and CPT non-invariant fermionic sector, of an extended version of QED. We explicit evaluate the most general mathematical structure associated to the AVV triangle amplitude, closely related to the one involved in the CS term evaluation, using for this purposes an alternative calculational strategy to handle divergences in QFT’s. We show that the requirement of consistency with the choices made in the construction of the Standard Model’s renormalizability, in the evaluation of the AVV Green function, leave no room for a nonvanishing radiatively induced CS term, independently of the regularization prescription or equivalent philosophy adopted, in accordance with what was previously conjectured by other authors.

PACS:

11.30.Qc 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • O. A. Battistel
    • 1
  • G. Dallabona
    • 2
  1. 1.Dept. of Physics - CCNEUniversidade Federal de Santa MariaSanta Maria, RSBrazil
  2. 2.Dept. of Physics - ICExUniversidade Federal de Minas GeraisBelo Horizonte, MGBrazil

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