A note on Slavnov-Taylor identities in the causal Epstein-Glaser approach

An alternative approach to perturbative Yang-Mills theories in four (3+1) dimensional space-time based on the causal Epstein-Glaser method in QFT was recently proposed. In this short note we show that the set of identities between C-number distributions expressing nonabelian gauge invariance in the causal approach imply identities which are analogous to the well-known Slavnov-Taylor identities. We explicitly derive the Z-factor relations at one-loop level