M. Dutsch et al., CAUSAL CONSTRUCTION OF YANG-MILLS THEORIES .3., Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 108(6), 1995, pp. 679-707
The investigation of quantized Yang-Mills theories by means of causal
perturbation theory is continued. We give a comprehensive discussion o
f the C-number identities which express gauge invariance of the non-Ab
elian theory (Cg-identities). Having proven these identities for distr
ibutions with two external legs in a previous paper, we derive all ide
ntities for 3-legs and 4-legs here as a consequence of gauge invarianc
e. Their proof by suitable normalization in the causal construction is
considered in part IV of this series.