Learning about Quantum Gravity with a Couple of Nodes
General Relativity and Quantum Cosmology
2012-03-27 v4
Abstract
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.
Cite
@article{arxiv.1110.3020,
title = {Learning about Quantum Gravity with a Couple of Nodes},
author = {Enrique F. Borja and Iñaki Garay and Francesca Vidotto},
journal= {arXiv preprint arXiv:1110.3020},
year = {2012}
}