Geometric methods for quantum field theory: proceedings of the summer school : Villa de Leyva, Colombia, 12-30 July 1999
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Bibliographische Detailangaben
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Singapore World Scientific ©2001
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Beschreibung:Includes bibliographical references
Both mathematics and mathematical physics have many active areas of research where the interplay between geometry and quantum field theory has proved extremely fruitful. Duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of modern topics which stand on the borderline betwen geometry and analysis on the one hand and quantum field theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to new mathematical and physical concepts and results. This volume introduces the reader to some basic mathematical and physical tools and methods required to follow the recent developments in some active areas of mathematical physics, including duality, gauge field theory, geometric quantization, Sieberg-Witten theory, spectral properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, as well as a few short communications presented by young participants and the school
Beschreibung:1 Online-Ressource (vii, 520 pages)
ISBN:1281956252
9781281956255
9789810243517
9789812810571
9810243510
9812810579

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