Geometrical formalism in gauge theories
Abstract
Description
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.
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)
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)