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Cited by 19Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS

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GAMBINI, RODOLFO, PULLIN, JORGE·2006·International Journal of Modern Physics D
DOI 10.1142/s0218271806009042
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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. 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.

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Crossref · 10.1142/s0218271806009042

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  • In four dimensions, results from the consistent-discretization approach indicate that diffeomorphism invariance is broken by discretization in the sense that there is no infinitesimal generator of diffeomorphism.

    “Their results indicate that diff-invariance is indeed broken by the discretization in the sense that there is no infinitesimal generator of diffeomorphism.”

    From The Spin-Foam Approach to Quantum Gravity (2013) · cites this paper as [198]

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Authors
GAMBINI, R., & PULLIN, J.
Affiliations
  • Universidad de la República de Uruguay (UY)
  • Louisiana State University (US)
ORCID
Venue
International Journal of Modern Physics D
Publisher
World Scientific Pub Co Pte Lt
Published
2006-10
Volume
15
Issue
10
Pages
1699-1706
ISSN
  • 0218-2718 (ISSN-L)
  • 1793-6594
DOI
10.1142/s0218271806009042
OpenAlex
W2066890533
Cited by
19
References
10
Citations by year
2022: 1 · 2018: 1 · 2015: 2 · 2014: 3 · 2013: 3 · 2012: 2
FWCI
0.66
Type
journal article
Language
en
Open access
Locations
  • International Journal of Modern Physics D (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Civil War Book Review (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
Regge calculus, Regge action, canonical quantization, general relativity, canonical transformations, constraint elimination, integration measures, arbitrary dimensions

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