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Vortices and Flat Directions: The Uses of Bogomolnyi Bounds

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Patterns of Symmetry Breaking

Part of the book series: NATO Science Series ((NAII,volume 127))

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Abstract

Topological defects carry a topological charge coming from the non-trivial boundary conditions. In the case of the kink, this charge is proportional to φ(x = +∞) − φ(x = -∞). For vortices, it is the total magnetic flux, ∫d 2 xB integrated in the plane perpendicular to the vortex, ’t Hooft-Polyakov magnetic monopoles carry a magnetic charge that can be related to the non-trivial “hedgehog” configuration of the Higgs field outside the monopole core.

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Author information

Authors and Affiliations

  1. Institute Lorentz for Theoretical Physics, Leiden University, Netherlands

    A. Achucarro

  2. Department of Theoretical Physics, UPV-EHU, The University of the Basque Country, Bilbao, Spain

    A. Achucarro

Authors
  1. A. Achucarro
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Editor information

Editors and Affiliations

  1. Jagiellonian University, Cracow, Poland

    Henryk Arodz  & Jacek Dziarmaga  & 

  2. Los Alamos National Laboratory, Los Alamos, USA

    Wojciech Hubert Zurek

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© 2003 Springer Science+Business Media Dordrecht

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Achucarro, A. (2003). Vortices and Flat Directions: The Uses of Bogomolnyi Bounds. In: Arodz, H., Dziarmaga, J., Zurek, W.H. (eds) Patterns of Symmetry Breaking. NATO Science Series, vol 127. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1029-0_9

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  • DOI: https://doi.org/10.1007/978-94-007-1029-0_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1745-2

  • Online ISBN: 978-94-007-1029-0

  • eBook Packages: Springer Book Archive

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