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Ward identities and renormalization of general gauge theories

D R Grigore 2004 J. Phys. A: Math. Gen. 37 2803-2834   doi: 10.1088/0305-4470/37/7/021  Help

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D R Grigore
Department of Theoretical Physics, Institute Atomic Physics Bucharest-Mägurele, PO Box MG 6, Romania
E-mail: grigore@theor1.theory.nipne.ro (and)

Abstract. We 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 number: 11.15.−q

Print publication: Issue 7 (20 February 2004)
Received 11 September 2003
Published 4 February 2004

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