Consistent discretization and canonical classical and quantum Regge calculus

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.

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

References in corpus (3)

• Dirac-like approach for consistent discretizations of classical constrained theories
• Discrete quantum gravity: applications to cosmology
• Consistent discretizations: the Gowdy spacetimes

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• Constraint analysis for variational discrete systems
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• Canonical linearized Regge Calculus: counting lattice gravitons with Pachner moves
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