2003/04/30 by Jorge Alfaro, J. Alfaro, H. A. Morales-Técotl +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/0305-4470/36/48/012
published as J.Phys.A36:12097-12107,2003 · latex, 17 pages, 2 figures, shorter version
arxiv created 2003/09/12 · openalex publication_date 2003/11/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We provide a method and 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.