Integration on the space of Connections Modulo Gauge Transformations

Abstract

A summary of the known results on integration theory on the space of connections modulo gauge transformations is presented and its significance to quantum theories of gauge fields and gravity is discussed. The emphasis is on the underlying ideas rather than the technical subtleties.

18 pages, CGPG-94/3-4, References added and typographic mistakes revised

Cited by in corpus (6)

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• Regularization of the Hamiltonian constraint and the closure of the constraint algebra
• Bibliography of publications related to Classical and Quantum Gravity in terms of Connection and Loop Variables
• Coherent State Transforms for Spaces of Connections
• Thin homotopy and the holonomy approach to gauge theories
• An account of transforms on \bar {{\cal A}/{\cal G}}