Summary
The investigation of pure quantized Yang-Mills theories by means of causal perturbation theory is continued. We prove (re)normalizability and study gauge invariance by introducing additional couplings between Yang-Mills and ghost fields. Then, gauge invariance can be expressed by a large but finite set of identities between C-number distributions, analogous to the Ward-Takahashi identities. We work with free fields throughout, so that all expressions are mathematically well-defined.
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Work supported by Schweizerischer Nationalfonds.
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Dütsch, M., Hurth, T., Krahe, F. et al. Causal construction of Yang-Mills theories. - II. Nuov Cim A 107, 375–406 (1994). https://doi.org/10.1007/BF02831444
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DOI: https://doi.org/10.1007/BF02831444