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Topological Solitons
Open accessAbstract
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.
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Cited by
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Herdeiro, C. A. R., & Radu, E. (2015) · International Journal of Modern Physics D · doi:10.1142/s0218271815420146 · Cited by 729
Optical skyrmions and other topological quasiparticles of light
Shen, Y., Zhang, Q., Shi, P., Du, L., Yuan, X., & Zayats, A. V. (2024) · Nature Photonics · doi:10.1038/s41566-023-01325-7 · Cited by 469
Liebling, S. L., & Palenzuela, C. (2017) · Living Reviews in Relativity · doi:10.1007/s41114-017-0007-y · Cited by 371
Particle-like topologies in light
Sugic, D., Droop, R., Otte, E., Ehrmanntraut, D., Nori, F., Ruostekoski, J., Denz, C., & Dennis, M. R. (2021) · Nature Communications · doi:10.1038/s41467-021-26171-5 · Cited by 221
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Metadata
- Authors
- Manton, N., & Sutcliffe, P.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2004-06-10
- OpenAlex
- W3133583790
- Cited by
- 1,674
- References
- 0
- FWCI
- 7.83
- Type
- book
- Language
- en
- Open access
- green
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