Knot theory and quantum gravity in loop space: a primer

Details Knot theory and quantum gravity in loop space: a primer Knot theory and quantum gravity in loop space: a primer

1993-01-09

arxiv.org/abs/hep-th/9301028v2

AIP Conf.Proc.317:141-190,1994

Physics

High Energy Physics

High Energy Physics - Theory

44 pages. v2: figures added, also available as PDF at http://www.phys.psu.edu/~pullin/primerfigs.pdf

Scientific paper

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.

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