Dimock, J.
Canonical Quantization of Yang Mills on a Circle
(45K, LaTex)
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.