CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS

2005/11/30 by Rodolfo Gambini, RODOLFO GAMBINI, Jorge Pullin +1 · 1 citation
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #gr-qc #hep-th

paper · pdf · doi:10.1142/s0218271806009042

published as Int.J.Mod.Phys. D15 (2006) 1699-1706 · 8 pages, Dedicated to Rafael Sorkin on his 60th birthday, to appear in Proceedings of the Puri Conference, special issue of IJMPD

arxiv created 2006/06/01 · openalex publication_date 2006/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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. 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 integration measure for quantum Regge calculus.

Citations

• Dirac-type approach for consistent discretizations of classical constrained theories

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