D R Grigore 2004 J. Phys. A: Math. Gen. 37 2803 doi:10.1088/0305-4470/37/7/021
Ward identities and renormalization of general gauge theories
D R Grigore
Show affiliationsWe introduce the concept of general gauge theory which includes Yang–Mills models. We use the framework of the causal approach and show that the anomalies can appear only in the vacuum sector of the identities obtained from the gauge invariance condition by applying derivatives with respect to the basic fields. For the Yang–Mills model we provide these identities in the lowest orders of the perturbation theory and prove that they are valid. The investigation of higher orders of the perturbation theory is still an open problem.
- PACS
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11.15.Bt General properties of perturbation theory
11.30.Er Charge conjugation, parity, time reversal, and other discrete symmetries
- MSC
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81T15 Perturbative methods of renormalization
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 7 (20 February 2004)
Received 11 September 2003
Published 4 February 2004
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Ward identities and renormalization of general gauge theories
D R Grigore 2004 J. Phys. A: Math. Gen. 37 2803
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