Slavnov-Taylor Identities from the Causal Point of View
We continue the investigation of quantized Yang-Mills theories coupled to matter fields in the framework of causal perturbation theory which goes back to Epstein and Glaser. In this approach gauge invariance is expressed by a simple commutator relation for the S-matrix and the corresponding gauge tr...
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Published in | arXiv.org |
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Main Author | |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
18.06.1996
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Subjects | |
Online Access | Get full text |
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Summary: | We continue the investigation of quantized Yang-Mills theories coupled to matter fields in the framework of causal perturbation theory which goes back to Epstein and Glaser. In this approach gauge invariance is expressed by a simple commutator relation for the S-matrix and the corresponding gauge transformations are simple transformations of the free fields only. In spite of this simplicity, gauge invariance implies the usual Slavnov-Taylor identities. The main purpose of this paper is to prove the latter statement. Since the Slavnov-Taylor identities are formulated in terms of Green's functions, we investigate the agreement of two perturbative definitions of Green's functions, namely of Epstein and Glaser's definition with the Gell-Mann Low series. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.9606105 |