Knot theory and quantum gravity in loop space: a primer
High Energy Physics - Theory
2015-06-26 v2 General Relativity and Quantum Cosmology
Quantum Algebra
Abstract
These notes summarize the lectures delivered in the V Mexican School of Particle Physics, at the University of Guanajuato. We give a survey of the application of Ashtekar's variables to the quantization of General Relativity in four dimensions with special emphasis on the application of techniques of analytic knot theory to the loop representation. We discuss the role that the Jones Polynomial plays as a generator of nondegenerate quantum states of the gravitational field.
Keywords
Cite
@article{arxiv.hep-th/9301028,
title = {Knot theory and quantum gravity in loop space: a primer},
author = {Jorge Pullin},
journal= {arXiv preprint arXiv:hep-th/9301028},
year = {2015}
}
Comments
44 pages. v2: figures added, also available as PDF at http://www.phys.psu.edu/~pullin/primerfigs.pdf