New tools for Loop Quantum Gravity with applications to a simple model
General Relativity and Quantum Cosmology
2015-06-03 v1
Abstract
Loop Quantum Gravity is now a well established approach to quantum gravity. One of the main challenges still faced by the theory is constructing a consistent dynamics which would lead back to the standard dynamics of the gravitational field at large scales. Here we will review the recent U(N) framework for Loop Quantum Gravity and the new spinor representation (that provides a classical setting for the U(N) framework). Then, we will apply these techniques to a simple model in order to propose a dynamics for a symmetry reduced sector of the theory. Furthermore, we will explore certain analogies of this model with Loop Quantum Cosmology.
Keywords
Cite
@article{arxiv.1201.5470,
title = {New tools for Loop Quantum Gravity with applications to a simple model},
author = {Enrique F. Borja and Jacobo Díaz-Polo and Laurent Freidel and Iñaki Garay and Etera R. Livine},
journal= {arXiv preprint arXiv:1201.5470},
year = {2015}
}
Comments
4 pages, to appear in Proceedings of Spanish Relativity Meeting 2011 (ERE 2011) held in Madrid, Spain