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Consistent discretization and canonical classical and quantum Regge calculus

Rodolfo Gambini·Jorge Pullin
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Abstract

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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Rodolfo Gambini, Jorge Pullin. 2006-06-01. Consistent discretization and canonical classical and quantum Regge calculus. https://doi.org/10.1142/s0218271806009042

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