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Phys. Rev. Lett. 81, 4798–4801 (1998)

Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory

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Richard A. Battye1 and P. M. Sutcliffe2
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, United Kingdom
2Institute of Mathematics, University of Kent at Canterbury, Canterbury, CT2 7NZ, United Kingdom

Received 16 September 1998; published in the issue dated 30 November 1998

We examine in detail recent claims that knotlike structures exist in a simple classical field theory which are stabilized by the Hopf charge. We present minimum energy configurations for charges one to eight generated numerically. It is found that the solutions exhibit a spectacular variety of behavior including closed loops, linked loops, and, most interestingly, knots.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.4798
DOI:
10.1103/PhysRevLett.81.4798
PACS:
11.27.+d, 11.10.Lm