Axioms for Quantum Yang-Mills Theories -- 2. Minkowski Axioms

This paper presents the axioms for a quantum Yang-Mills theory in the Minkowski spacetime. There are two routes of analytic continuation for the Schwinger functions, namely the Wightman functions and time-ordered products of field operators. We check consistency of these two axiom schemes and reproduce some known existing results, including the indefinite metric and BV formalisms.