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Topological Solitons on Hardback by Nicholas Manton
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Description

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

Author Biography:

Nicholas Manton received his PhD from the University of Cambridge in 1978. Following postdoctoral positions at the Ecole Normale in Paris, M.I.T. and UC Santa Barbara, he returned to Cambridge and is now Professor of Mathematical Physics in the Department of Applied Mathematics and Theoretical Physics, and currently head of the department's High Energy Physics group. He is a Fellow of St John's College. He introduced and helped develop the method of modelling topological soliton dynamics by geodesic motion on soliton moduli spaces. Paul Sutcliffe received his PhD from the University of Durham in 1992. Following postdoctoral appointments at Heriot-Watt, Orsay and Cambridge, he moved to the University of Kent, where he is now Reader in Mathematical Physics. For the past five years, he was an EPSRC Advanced Fellow. He has researched widely on topological solitons, especially multi-soliton solutions and soliton dynamics, and has found surprising relations between different kinds of soliton.
Release date Australia
June 10th, 2004
Audience
  • Professional & Vocational
Illustrations
7 Tables, unspecified; 76 Line drawings, unspecified
Pages
506
Dimensions
182x254x33
ISBN-13
9780521838368
Product ID
7910121

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