Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-24
J.Phys.A34:5429-5462,2001
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, LATEX 2e, extensive rewritting, some errors eliminated
Scientific paper
10.1088/0305-4470/34/26/312
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.
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