Differential Geometry on the Space of Connections via Graphs and Projective Limits
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چکیده
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, A/G, of the space A/G of gauge equivalent connections. This space serves as the quantum configuration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory. A/G is a very large space and serves as a “universal home” for measures in theories in which the Wilson loop observables are well-defined. In this paper, A/G is considered as the
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The Erwin Schrr Odinger International Institute for Mathematical Physics Diierential Geometry on the Space of Connections via Graphs and Projective Limits Diierential Geometry on the Space of Connections via Graphs and Projective Limits
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, A=G, of the space A=G of gauge equivalent connections. This space serves as the quantum connguration space, or, as the space of all Euclidean histories over which one must integrate in the quantum theory. A=G is a very large space and serves as a \universal home" for ...
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تاریخ انتشار 1994