2018 Impact factor 4.843
Particles and Fields
Open Access
Eur. Phys. J. C 32, s1.1-s1.21 (2004)
DOI: 10.1140/epjcd/s2003-01-001-9

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

O.A. Battistel1 and G. Dallabona2

1  Dept. of Physics - CCNE, Universidade Federal de Santa Maria, P.O. Box 5093, 97119-900, Santa Maria, RS, Brazil
2  Dept. of Physics - ICEx, Universidade Federal de Minas Gerais, P.O. Box 702, 30161-970, Belo Horizonte, MG, Brazil


(Received 18 July 2002 / Published online 28 January 2003)

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



© Società Italiana di Fisica, Springer-Verlag 2004