D R Grigore 2001 J. Phys. A: Math. Gen. 34 5429 doi:10.1088/0305-4470/34/26/312
The standard model and its generalizations in the Epstein-Glaser approach to renormalization theory: II. The fermion sector and the axial anomaly
D R Grigore
Show affiliationsWe complete our study of non-Abelian gauge theories in the framework of the 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.
- PACS
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 26 (6 July 2001)
Received 17 October 2000, in final form 16 May 2001
Published 22 June 2001
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The standard model and its generalizations in the Epstein-Glaser approach to renormalization theory: II. The fermion sector and the axial anomaly
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