Consistent discretization and canonical classical and quantum Regge calculus

Details Consistent discretization and canonical classical and quantum Regge calculus Consistent discretization and canonical classical and quantum Regge calculus

2005-11-16

arxiv.org/abs/gr-qc/0511096v2

Int.J.Mod.Phys. D15 (2006) 1699-1706

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Dedicated to Rafael Sorkin on his 60th birthday, to appear in Proceedings of the Puri Conference, special issue of IJ

Scientific paper

10.1142/S0218271806009042

We apply the ``consistent discretization'' technique to the Regge action for (Euclidean and Lorentzian) general relativity in arbitrary number of dimensions. The result is a well defined canonical theory that is free of constraints and where the dynamics is implemented as a canonical transformation. This provides a framework for the discussion of topology change in canonical quantum gravity. In the Lorentzian case, the framework appears to be naturally free of the ``spikes'' that plague traditional formulations. It also provides a well defined recipe for determining the measure of the path integral.

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