95-1 Dimock, J.

Canonical Quantization of Yang Mills on a Circle (45K, LaTex) Jan 3, 95

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Abstract. The canonical quantization of YM on a circle is developed in two different formulations. In the first case the basic coordinates are the gauge potentials and we give a complete construction, but find no observables. In the second case the basic coordinates are the holonomy operators (Wilson loop operators) and here we also give a construction. A key ingredient is a proof that the irreducible characters of the holonomy operators are eigenvectors for the Hamiltonian.

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