Abstract
A brief introduction to some of the ideas of a gauge theory are presented with a review of the role of the path integral in developing a quantum theory as well as the path integral over a space of the form S/G. The path integral of the gauge-invariant function over the space of inequivalent connections under a given measure is discussed. It is shown that by taking the Yang-Mills Lagrangian, a formal quantum mechanical Hamiltonian in the space of gauge-invariant functionals can be derived. The scalar product is then given by the formal Riemannian volume element on the space of orbits.
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