Knot theory and quantum gravity in loop space: a primer

Jorge Pullin

doi:10.1063/1.46852

Knot theory and quantum gravity in loop space: a primer

高能物理 - 理论 2015-06-26 v2 广义相对论与量子宇宙学量子代数

作者: Jorge Pullin

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摘要

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.

关键词

quantum gravity gravitation

引用

@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}
}