M. Dutsch et al., CAUSAL CONSTRUCTION OF YANG-MILLS THEORIES .4. UNITARITY, Nuovo cimento della Società Italiana di Fisica. A. Nuclei, particles and fields, 108(6), 1995, pp. 737-773
We prove perturbative unitarity of the S-matrix on the physical Hilber
t space for Yang-Mills theories with matter fields in the causal appro
ach. Here unitarity is a direct consequence of gauge invariance. To es
tablish the latter, we prove the C-number identities for gauge invaria
nce (Cg-identities).