Discrete Gravity Models and Loop Quantum Gravity: a Short Review
Copyright policy )Discrete Gravity Models and Loop Quantum Gravity: a Short Review
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
[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], loop quantum gravity, discrete gravity, Regge, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, twisted geometries, Plebanski action, Loop Quantum Gravity, simplicity constraints, QA1-939, Regge calculus, Einstein's equations (general structure, canonical formalism, Cauchy problems), Quantization of the gravitational field, Mathematics
[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], loop quantum gravity, discrete gravity, Regge, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory, General Relativity and Quantum Cosmology, twisted geometries, Plebanski action, Loop Quantum Gravity, simplicity constraints, QA1-939, Regge calculus, Einstein's equations (general structure, canonical formalism, Cauchy problems), Quantization of the gravitational field, Mathematics
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