A Causal Approach to Massive Yang-Mills Theories

Krahe, F. (1995) A Causal Approach to Massive Yang-Mills Theories. (Preprint)

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We study quantized Yang-Mills theory with massive vector fields in the framework of causal perturbation theory. The most general form of the interaction which is invariant under operator gauge transformations is pointed out. The generator of these transformations generally fails to be nilpotent. This defect, however, is easily cured by including scalar fields in the gauge transformations. Due to gauge invariance these scalar gauge fields couple to the Yang-Mills fields with predicted strength. We also show that invariance under ghost charge conjugation fixes the form of the interaction completely. The coupling of the Yang-Mills fields and the scalar gauge fields to matter is investigated. It is proven that gauge invariance implies unitarity of the physical S-matrix. We always work in the Pock space of free quantum fields in which all expressions are mathematically well defined.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:05
Last Modified: 18 Jul 2018 13:20
URI: http://dair.dias.ie/id/eprint/657

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