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

The role of the anomaly cancellation mechanism in the evaluation of the radiatively induced... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png EPJ direct Springer Journals

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

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

Eur Phys J C, EPJ C direct, 1 (2003) 001 EPJ C direct DOI 10.1140/epjcd/s2003-01-001-9 electronic only c Springer-Verlag 2003 The role of the anomaly cancellation mechanism in the evaluation of the radiatively induced Chern–Simons term in extended QED 1 2 O.A. Battistel , G. Dallabona Dept. of Physics – CCNE Universidade Federal de Santa Maria P.O. Box 5093, 97119-900, Santa Maria, RS, Brazil Dept. of Physics – ICEx Universidade Federal de Minas Gerais P.O. Box 702, 30161-970, Belo Horizonte, MG, Brazil Received: 18 Jul 2002 / Accepted: 27 Nov 2002 / Published online: 28 Jan 2003 Abstract. We consider the possible role played by the anomaly cancellation mecha- nism 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 AV V 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 construc- tion 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 1 Introduction Nowadays the Standard Model represents our most important theoretical frame- work for the understanding of the phenomenology of fundamental particles. In the construction of the model a set of symmetries was considered as funda- mental. Among them are the Lorentz and CP T symmetries, as well as the SU (3) ⊗ SU (2) ⊗ U (1) gauge invariance, in addition to the most basic ones like the translational invariance [1]. Our difficulty in...
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Publisher
Springer-Verlag
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Physics; Physics, general; Particle and Nuclear Physics; Nuclear Physics, Heavy Ions, Hadrons; Particle Acceleration and Detection, Beam Physics; Nuclear Fusion; Atomic/Molecular Structure and Spectra
ISSN
1435-3725
D.O.I.
10.1140/epjcd/s2003-01-001-9
Publisher site
See Article on Publisher Site

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.

Journal

EPJ directSpringer Journals

Published: Jan 1, 2003

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