Knots as Stable Soliton Solutions in a Three-Dimensional Classical Field Theory
Richard A. BattyeDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, United KingdomPaul SutcliffeInstitute of Mathematics, University of Kent at Canterbury, Canterbury, CT2 7NZ, United Kingdom
1998en
ABI
Abstract
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.
Identifiers
Citations and references
Cited by 30 references