Polymer representations and geometric quantization
General Relativity and Quantum Cosmology
2011-11-04 v1
Abstract
Polymer representations of the Weyl algebra of linear systems provide the simplest analogues of the representation used in loop quantum gravity. The construction of these representations is algebraic, based on the Gelfand-Naimark-Segal construction. Is it possible to understand these representations from a Geometric Quantization point of view? We address this question for the case of a two dimensional phase space.
Cite
@article{arxiv.1111.0638,
title = {Polymer representations and geometric quantization},
author = {Miguel Campiglia},
journal= {arXiv preprint arXiv:1111.0638},
year = {2011}
}
Comments
15 pages