Discrete gravity models and Loop Quantum Gravity: a short review

Details Discrete gravity models and Loop Quantum Gravity: a short review Discrete gravity models and Loop Quantum Gravity: a short review

2012-04-24

arxiv.org/abs/1204.5394v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages. Invited review for SIGMA Special Issue "Loop Quantum Gravity and Cosmology"

Scientific paper

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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