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Consistent discretization and canonical classical and quantum Regge calculus

Authors
  • Gambini, Rodolfo
  • Pullin, Jorge
Type
Published Article
Publication Date
Jun 01, 2006
Submission Date
Nov 16, 2005
Identifiers
DOI: 10.1142/S0218271806009042
Source
arXiv
License
Unknown
External links

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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