Publication details for Paul SutcliffeAtiyah, M.F. & Sutcliffe, P.M. (2005). Skyrmions, instantons, mass and curvature. Physics Letters B 605(1-2): 106-114.
- Publication type: Journal Article
- ISSN/ISBN: 0370-2693
- DOI: 10.1016/j.physletb.2004.11.015
- Further publication details on publisher web site
Author(s) from Durham
We show that skyrmions 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.