Skyrmions, instantons, mass and curvature

Atiyah, Michael and Sutcliffe, Paul M. (2005) Skyrmions, instantons, mass and curvature. Physics Letters B, 605 (1-2). pp. 106-114. ISSN 0370-2693. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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We show that skyrimons with massless pions in hyperbolic space provide a good approximation to skyrmions with massive pions in Euclidean space, for a particular relationship between the pion mass and the curvature of hyperbolic space. Using this result we describe how a skyrmion with massive pions in Euclidean space can be approximated by the holonomy along circles of a Yang-Mills instanton. This is a generalization of the approximation of skyrmions by the holonomy along lines of an instanton, which is only applicable to massless pions. (C) 2004 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled keywords: Rational Maps; Monopoles; Crystal; Fields; Model
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Judith Broom
Date Deposited: 05 Sep 2008 12:38
Last Modified: 16 Jun 2014 09:28
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