Geometrical formalism in gauge theories

Details Geometrical formalism in gauge theories Geometrical formalism in gauge theories

2003-09-29

arxiv.org/abs/math-ph/0309059v1

Proceedings of the CEDYA-03 Congress, Eds. J.M. Jornet et al., Universitat Rovira i Virgili, Tarragona, 2003

Physics

Mathematical Physics

20 pages, LaTeX, talk given at the XVIII Congress on Differential Equations and Applications & VIII Congress on Applied Mathem

Scientific paper

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.

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