The Standard Model and its Generalizations in Epstein-Glaser Approach to Renormalization Theory II: the Fermion Sector and the Axial Anomaly

Preprint

12 February 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9903206

Abstract

We complete our study of non-Abelian gauge theories in the framework of Epstein-Glaser approach to renormalization theory including in the model an arbitrary number of Dirac Fermions. We consider the consistency of the model up to the third order of the perturbation theory. In the second order we obtain pure group theoretical relations expressing a representation property of the numerical coefficients appearing in the left and right handed components of the interaction Lagrangian. In the third order of the perturbation theory we obtain the the condition of cancellation of the axial anomaly.

Keywords

EPSTEIN GLASER APPROACH
RENORMALIZATION THEORY
PERTURBATION THEORY
GLASER APPROACH
STANDARD MODEL
FERMIONS

All Related Versions

Version 1, 1999-03-24, ArXiv
Version 2, 2000-04-27, ArXiv
Version 3, 2000-06-08, ArXiv
Version 4, 2001-02-12, ArXiv
Published version: Journal of Physics A: General Physics, 34 (26), 5429.

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