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Discrete Gravity Models and Loop Quantum Gravity: a Short Review

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Aug 2012Embargo end date: 01 Jan 2012Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659, Copyright policy )
Authors: Dupuis, Maite; Ryan, James P.; Speziale, Simone;

doi: 10.3842/sigma.2012.052 , 10.48550/arxiv.1204.5394

arXiv: http://arxiv.org/abs/1204.5394

handle: 11858/00-001M-0000-000E-EB18-4 , 11858/00-001M-0000-000E-EB16-8 , 11858/00-001M-0000-000E-EB17-6

Discrete Gravity Models and Loop Quantum Gravity: a Short Review

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.

v2: many amendments, matches published version

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Keywords

twisted geometries, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Loop Quantum Gravity, simplicity constraints, discrete gravity, QA1-939, Regge calculus, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematics, General Relativity and Quantum Cosmology

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 39
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Top 10%
Top 10%
Top 10%
Green
gold