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

Thomas Thiemann

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

Thomas Thiemann

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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.

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Thomas Thiemann. 1995-11-16. An account of transforms on \bar {{\cal A}/{\cal G}}. https://arxiv.org/abs/gr-qc/9511049

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