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RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME
Reviews in Mathematical Physics
We present a proof that quantum Yang-Mills theory can be consistently defined as a renormalized, perturbative quantum field theory on an arbitrary globally hyperbolic curved, Lorentzian spacetime. To this end, we construct the non-commutative algebra of observables, in the sense of formal power series, as well as a space of corresponding quantum states. The algebra contains all gauge invariant, renormalized, interacting quantum field operators (polynomials in the field strength and itsdoi:10.1142/s0129055x08003420 fatcat:xucabgmt2zcetfa6tjyxybzeuq