Summary
We prove perturbative unitarity of theS-matrix on the physical Hilbert space for Yang-Mills theories with matter fields in the causal approach. Here unitarity is a direct consequence of gauge invariance. To establish the latter, we prove theC-number identities for gauge invariance (Cg-identities).
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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. Nuov Cim A 108, 737–773 (1995). https://doi.org/10.1007/BF02813378
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DOI: https://doi.org/10.1007/BF02813378