Alfaro, J.; Morales-Técotl, H. A.; Reyes, M.; Urrutia, L. F. On non-Abelian holonomies. (English) Zbl 1043.83015 J. Phys. A, Math. Gen. 36, No. 48, 12097-12107 (2003). Summary: 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. Cited in 1 Document MSC: 83C45 Quantization of the gravitational field 53C29 Issues of holonomy in differential geometry PDFBibTeX XMLCite \textit{J. Alfaro} et al., J. Phys. A, Math. Gen. 36, No. 48, 12097--12107 (2003; Zbl 1043.83015) Full Text: DOI arXiv Link