Wow! eBook
Geometric Methods for Quantum Field Theory
Author:Hernan Ocampo (Author), Sylvie Paycha (Author), Andres F Reyes-Lega (Author)
Publisher: World Scientific Publishing Company
Publication date: 2001-05-03
Edition: First Edition
Language: English
Print length: 528 pages
ISBN-10: 9810243510
ISBN-13: 9789810243517
Book Description
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, Seiberg-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 between 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, Seiberg-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 at the school.
