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  Discrete Gravity Models and Loop Quantum Gravity: a Short Review

Dupuis, M., Ryan, J. P., & Speziale, S. (2012). Discrete Gravity Models and Loop Quantum Gravity: a Short Review. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 8: 052. doi:10.3842/SIGMA.2012.052.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EB18-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EB19-2
Genre: Journal Article

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1204.5394 (Preprint), 690KB
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 Creators:
Dupuis, Maite, Author
Ryan, James P.1, Author              
Speziale, Simone, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2012-04-242012-08-132012
 Publication Status: Published in print
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 Identifiers: arXiv: 1204.5394
DOI: 10.3842/SIGMA.2012.052
URI: http://arxiv.org/abs/1204.5394
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Title: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Source Genre: Journal
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Pages: - Volume / Issue: 8 Sequence Number: 052 Start / End Page: - Identifier: -