Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-15
Eur.Phys.J.ST 152:61-88,2007
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 17 figures; Lectures given at 45th Internationale Universitaetswochen fuer Theoretische Physik (International Univer
Scientific paper
10.1140/epjst/e2007-00377-2
Topological excitations are prominent candidates for explaining nonperturbative effects in QCD like confinement. In these lectures, I cover both formal treatments and applications of topological objects. The typical phenomena like BPS bounds, topology, the semiclassical approximation and chiral fermions are introduced by virtue of kinks. Then I proceed in higher dimensions with magnetic monopoles and instantons and special emphasis on calorons. Analytical aspects are discussed and an overview over models based on these objects as well as lattice results is given.
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