2003/09/29 by Yuri A. Kubyshin
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.DG #math.MP
published as Proceedings of the CEDYA-03 Congress, Eds. J.M. Jornet et al., Universitat Rovira i Virgili, Tarragona, 2003 · 20 pages, LaTeX, talk given at the XVIII Congress on Differential Equations and Applications & VIII Congress on Applied Mathematics CEDYA-03 (Tarragona, September 15-19, 2003)
arxiv created 2003/09/29 · arxiv updated 2009/12/01
We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the problem of classification of principal fibre bundles, which is important for the quantization of gauge theories. Some results for bundles over two-dimensional spaces are presented.