Journal
PHYSICS LETTERS B
Volume 605, Issue 1-2, Pages 106-114Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2004.11.015
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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.
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