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arXiv · 1204.5394

Discrete Gravity Models and Loop Quantum Gravity: a Short Review

Maite Dupuis·James P. Ryan·Simone Speziale
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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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Maite Dupuis, James P. Ryan, Simone Speziale. 2012-08-13. Discrete Gravity Models and Loop Quantum Gravity: a Short Review. https://doi.org/10.3842/sigma.2012.052

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