Learning about Quantum Gravity with a Couple of Nodes

Details Learning about Quantum Gravity with a Couple of Nodes Learning about Quantum Gravity with a Couple of Nodes

2011-10-13

arxiv.org/abs/1110.3020v4

SIGMA 8 (2012), 015, 44 pages

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.3842/SIGMA.2012.015

Loop Quantum Gravity provides a natural truncation of the infinite degrees of freedom of gravity, obtained by studying the theory on a given finite graph. We review this procedure and we present the construction of the canonical theory on a simple graph, formed by only two nodes. We review the U(N) framework, which provides a powerful tool for the canonical study of this model, and a formulation of the system based on spinors. We consider also the covariant theory, which permits to derive the model from a more complex formulation, paying special attention to the cosmological interpretation of the theory.

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