Topological Solitons

This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys in detail both static and dynamic multi-soliton solutions. Kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions are all discussed.

Clear and accessible
Self-contained and thorough
Suitable for newcomers to the field as well as seasoned researchers

Reviews & endorsements

'The authors are two of the most prominent in the field and have made many seminal contributions to it.' Contemporary Physics

'The book is self-contained and beautifully written. It should remain for a long period of time as a standard reference for anyone interested in solition theory and its application in physics.' Zentralblatt MATH

'… a unique, up-to-date and authoritative resource for anyone who wants to learn about the latest developments in the field of topological solitons. Moreover, by clearly exhibiting the essential idea of any topic they discuss, the authors have succeeded in writing a book which should teach mathematicians much about physics and physicists much about mathematics. The book is accessible to graduate students in theoretical physics and mathematics and despite the absence of exercises, could be used a s a textbook for an advanced lecture course.' Nieuw Archief voor Wiskunde

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Product details

Published: July 2006
Format: Adobe eBook Reader
ISBN: 9780511207839
Length: 0 pages
Weight: 0kg
Contains: 76 b/w illus. 7 tables
Availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.

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Contents

Preface
1. Introduction
2. Lagrangians and fields
3. Topology in field theory
4. Solitons - general theory
5. Kinks
6. Lumps and rational maps
7. Vortices
8. Monopoles
9. Skyrmions
10. Instantons
11. Saddle points - sphalerons
References
Index.

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About the authors

Authors

Nicholas Manton , University of Cambridge
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 , University of Durham
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.

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