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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.
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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, providing a self-contained overview for both physicists and mathematicians.
About the Author:
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.
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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- PublisherCambridge University Press
- Publication date2004
- ISBN 10 0521838363
- ISBN 13 9780521838368
- BindingHardcover
- Edition number1
- Number of pages506
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