An account of transforms on \bar {{\cal A}/{\cal G}}

Abstract

In this article we summarize and describe the recently found transforms for theories of connections modulo gauge transformations associated with compact gauge groups. Specifically, we put into a coherent picture the so-called loop transform, the inverse loop transform, the coherent state transform and finally the Wick rotation transform which is the appropriate transform that incorporates the correct reality conditions of quantum gravity when formulated as a dynamical theory of connections while preserving the simple algebraic form of the Hamiltonian constraint.

19 pages, Latex, Contribution to the Workshop ``Recent mathematical developments in classical and quantum gravity, Sintra, Portugal 1995

References in corpus (5)

• Differential Geometry on the Space of Connections via Graphs and Projective Limits
• On the support of the Ashtekar-Lewandowski measure
• Representation Theory of Analytic Holonomy C* Algebras
• Integration on the space of Connections Modulo Gauge Transformations
• Differential Geometry for the Space of Connections Modulo Gauge Transformations