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

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

1995-11-16

arxiv.org/abs/gr-qc/9511049v1

Acta Cosmologica 21:145-167,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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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