English

On Non-Abelian Holonomies

High Energy Physics - Theory 2008-11-26 v2

Abstract

We provide a method and the results for the calculation of the holonomy of a Yang-Mills connection in an arbitrary triangular path, in an expansion (developed here to fifth order) in powers of the corresponding segments. The results might have applications in generalizing to Yang-Mills fields previous calculations of the corrections to particle dynamics induced by loop quantum gravity, as well as in the field of random lattices.

Keywords

Cite

@article{arxiv.hep-th/0304223,
  title  = {On Non-Abelian Holonomies},
  author = {J. Alfaro and H. A. Morales-Técotl and M. Reyes and L. F. Urrutia},
  journal= {arXiv preprint arXiv:hep-th/0304223},
  year   = {2008}
}

Comments

latex, 17 pages, 2 figures, shorter version

R2 v1 2026-07-22T15:16:50.785Z