Summary
The investigation of quantized Yang-Mills theories by means of causal perturbation theory is continued. We give a comprehensive discussion of theC-number identities which express gauge invariance of the non-Abelian theory (Cg-identities). Having proven these identities for distributions with two external legs in a previous paper, we derive all identities for 3-legs and 4-legs here as a consequence of gauge invariance. Their proof by suitable normalization in the causal construction is considered in part IV of this series.
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Work supported by Schweizerischer Nationalfonds.
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Dütsch, M., Hurth, T. & Scharf, G. Causal construction of Yang-Mills theories. — III. Nuov Cim A 108, 679–707 (1995). https://doi.org/10.1007/BF02813375
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DOI: https://doi.org/10.1007/BF02813375