Abstract
The consequences about the observables in the Yang-Mills theory are summarized and a conclusion is drawn that the theory provides colour confinement on the assumption that every physical state vector can be approximated by localized physical state vectors. In this formalism, a theorem is proved asserting the failure of the cluster property for local non-observable operators contained in a composite local observable. This failure of the cluster property means the mutual strong correlation of unphysical particles separated far away and implies non-applicability of the behind-the-moon argument (usually placed against a confinement) to the present situation.
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Ojima, I. Observables and quark confinement in the covariant canonical formalism of Yang-Mills theory III. Z. Phys. C - Particles and Fields 5, 227–232 (1980). https://doi.org/10.1007/BF01421780
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DOI: https://doi.org/10.1007/BF01421780