Topological Measure and Graph-differential Geometry on the Quotient Space of Connections *
نویسندگان
چکیده
Integral calculus on the space A/G of gauge equivalent connections is developed. By carring out a non-linear generalization of the theory of cylindrical measures on topological vector spaces, a faithfull, diffeomorphism invariant measure is introduced on a suitable completion of A/G. The strip (i.e. momentum) operators are densely-defined in the resulting Hilbert space and interact with the measure correctly
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