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Durham University

Department of Mathematical Sciences


Publication details for Professor Emeritus Wojtek Zakrzewski

Piette, B.M.A.G. & Zakrzewski, W.J. (1996). Some Aspects of Soliton Unwindings. In From Field Theory to Quantum Groups: birthday volume dedicated to Jerzy Lukierski. Jancewicz, Bernard & Sobczyk, Jan Singapore: World Scientific. 275-285.

Author(s) from Durham


We investigate the unwindings of solitons as seen in many numerical simulations. We study a simple model in (2+1) dimensions which involves two scalar fields ø1, ø2 with an interaction term which favours the fields to lie on a unit circle (i.e. to satisfy the constraint ). We show that as the discretisation increases, or solitons become “thinner”, the importance of the constraint decreases thus suggesting that in numerical simulations of S2 solitons the unwinding proceeds through the constraint not being satisfied in-between the numerical lattice sites.