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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 052, 31 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.052 (Mi sigma729) 		 
This article is cited in 40 scientific papers (total in 40 papers)

Discrete gravity models and Loop Quantum Gravity: a short review

Maïté Dupuisa, James P. Ryanb, Simone Spezialec

a Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Erlangen, Germany
b MPI für Gravitationsphysik, Am Mühlenberg 1, D-14476 Potsdam, Germany
c Centre de Physique Théorique, CNRS-UMR 7332, Luminy Case 907, 13288 Marseille, France
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DOI: https://doi.org/10.3842/SIGMA.2012.052
Abstract: We review the relation between Loop Quantum Gravity on a fixed graph and discrete models of gravity. We compare Regge and twisted geometries, and discuss discrete actions based on twisted geometries and on the discretization of the Plebanski action. We discuss the role of discrete geometries in the spin foam formalism, with particular attention to the definition of the simplicity constraints.
Keywords: Loop Quantum Gravity, discrete gravity, Regge calculus, simplicity constraints, twisted geometries.
Received: April 25, 2012; in final form August 6, 2012; Published online August 13, 2012
Bibliographic databases:
Document Type: Article
MSC: 83C27; 83C45
Language: English
Citation: Maïté Dupuis, James P. Ryan, Simone Speziale, “Discrete gravity models and Loop Quantum Gravity: a short review”, SIGMA, 8 (2012), 052, 31 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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