Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-10-29
Class.Quant.Grav.11:2443-2453,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, Plain LaTeX, preprint UUITP-21/1993
Scientific paper
10.1088/0264-9381/11/10/006
We propose the following way of constructing quantum measure in Regge calculus: the full discrete Regge manifold is made continuous in some direction by tending corresponding dimensions of simplices to zero, then functional integral measure corresponding to the canonical quantization (with continuous coordinate playing the role of time) can be constructed. The full discrete measure is chosen so that it would result in canonical quantization one whatever coordinate is made continuous. This strategy is followed in 3D case where full discrete measure is determined in such the way practically uniquely (in fact, family of similar measures is obtained). Averaging with the help of the constructed measure gives finite expectation values for links.
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