Geometry, Topology and Quantum Field Theory
By: by Pratul Bandyopadhyay
Series: Fundamental Theories of Physics -- 130; Fundamental Theories of Physics -- 130
Publisher: Springer Netherlands
Published: 2003
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 220
ISBN-13: 9789048163380; 9789401716970
Subjects: Global differential geometry; Quantum theory; Nuclear physics; Physics; Global analysis
Description: This monograph deals with the geometrical and topological aspects related to quantum field theory with special reference to the electroweak theory and skyrmions. This book is unique in its emphasis on the topological aspects of a fermion manifested through chiral anomaly which is responsible for the generation of mass. This has its relevance in electroweak theory where it is observed that weak interaction gauge bosons attain mass topologically. These geometrical and topological features help us to consider a massive fermion as a skyrmion and for a composite state we can realise the internal symmetry of hadrons from reflection group. Also, an overview of noncommutative geometry has been presented and it is observed that the manifold M 4 x Z2 has its relevance in the description of a massive fermion as skyrmion when the discrete space is considered as the internal space and the symmetry breaking gives rise to chiral anomaly leading to topological features.
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Table of contents: title: From the Contents: 1: Theory of Spinors; title: 2: Fermions and Topology; title: 3: Electroweak Theory; title: 4: Skyrme Model; title: 5: Geometrical Aspects of a Skyrmion; title: 6: Noncommutative Geometry.