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Some properties of generalized connections in quantum gravity
J. M. Velhinho
The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group…
A groupoid approach to spaces of generalized connections
J. M. Velhinho
The quantum completion of the space of connections in a manifold can be seen as the set of all morphisms from the groupoid of the edges of the manifold to the (compact) gauge group…
Physical Properties of Quantum Field Theory Measures
J. M. Mourao, T. Thiemann, J. M. Velhinho
Well known methods of measure theory on infinite dimensional spaces are used to study physical properties of measures relevant to quantum field theory. The difference of typical co…
Comments on a Full Quantization of the Torus
J. M. Velhinho
Gotay showed that a representation of the whole Poisson algebra of the torus given by geometric quantization is irreducible with respect to the most natural overcomplete set of obs…