Abstract
We extend the SU(2) lattice gauge theory of Kogut and Susskind to a general non-Abelian gauge group. At the Lagrangian level, we find the theory to be related to the motion of a point in group space. We then quantise such a system using the natural geometric structure of group parameter space, and we apply our results to find the Hamiltonian for the general lattice gauge theory. We also discuss the large N behaviour of the theory.
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