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Observables and quark confinement in the covariant canonical formalism of Yang-Mills theory
Authors:Izumi Ojima
Institution:1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan
Abstract:A concise criterion for observables in Yang-Mills theory is presented in the framework of covariant canonical field theory. As an example, the symmetric energy-momentum tensor θøν is proved to be an observable and its physically meaningful form is clarified. The validity of the “Maxwell-type” equation of motion is established in the physical subspace Vphys defined by the subsidiary condition QB?phys〉 = 0 (QB: BRS charge). Its meaning and consequences are discussed in connection with the notion of observables: especially, all (quasi-) local observables in QCD are shown to be colour singlets and this fact paves the way to quark confinement.
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