Covariance of the extended holonomy
General Relativity and Quantum Cosmology
2019-08-01 v1 High Energy Physics - Theory
Abstract
It has been pointed out that the holonomy of generic extended loops is not gauge covariant. We show how to define a family of extended loops for which previous criticism does not apply. We also give sufficient conditions that extended loops must satisfy in order to yield covariant holonomies. This makes a quantum representation for Yang--Mills theories and gravity based on extended loops viable.
Keywords
Cite
@article{arxiv.1907.13213,
title = {Covariance of the extended holonomy},
author = {Rodolfo Gambini and Jorge Pullin and Aureliano Skirzewski},
journal= {arXiv preprint arXiv:1907.13213},
year = {2019}
}
Comments
12 pages, RevTex, no figures