Security/Hacking Geometry, Topology and Quantum Field Theory (Fundamental Theories of Physics) (9781402014147)

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Author: P. Bandyopadhyay
Publisher: Springer
Publish Date: July 31, 2003 (1st. ed.)
Pages: 232

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. Audience: This book will be of value to research workers and specialists in mathematical physics, quantum field theory, particle physics, differential geometry and analysis of manifolds.

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