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

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