Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example

Details Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example

2006-05-29

arxiv.org/abs/gr-qc/0605138v1

a substantial part published as Comm.Math.Phys.289:335-382,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

76 pages, no figures, LaTeX2e

Scientific paper

10.1007/s00220-009-0755-y

A simple diffeomorphism invariant theory of connections with the non-compact structure group R of real numbers is quantized. The theory is defined on a four-dimensional 'space-time' by an action resembling closely the self-dual Plebanski action for general relativity. The space of quantum states is constructed by means of projective techniques by Kijowski. Except this point the applied quantization procedure is based on Loop Quantum Gravity methods.

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