Area expectation values in quantum area Regge calculus

Details Area expectation values in quantum area Regge calculus Area expectation values in quantum area Regge calculus

2002-12-26

arxiv.org/abs/gr-qc/0212110v3

Phys.Lett. B560 (2003) 245-251

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX, possible relation to quantisation of the usual length-based Regge calculus is discussed

Scientific paper

10.1016/S0370-2693(03)00439-8

The Regge calculus generalised to independent area tensor variables is considered. The continuous time limit is found and formal Feynman path integral measure corresponding to the canonical quantisation is written out. The quantum measure in the completely discrete theory is found which possesses the property to lead to the Feynman path integral in the continuous time limit whatever coordinate is chosen as time. This measure can be well defined by passing to the integration over imaginary field variables (area tensors). Averaging with the help of this measure gives finite expectation values for areas.

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