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arXiv · hep-th/0304223

On Non-Abelian Holonomies

J. Alfaro·H. A. Morales-Técotl·M. Reyes·L. F. Urrutia
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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.

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J. Alfaro, H. A. Morales-Técotl, M. Reyes, L. F. Urrutia. 2003-09-12. On Non-Abelian Holonomies. https://doi.org/10.1088/0305-4470%2F36%2F48%2F012

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