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Durham University

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Publication details for Paul Sutcliffe

Atiyah, M.F. & Sutcliffe, P.M. (2005). Skyrmions, instantons, mass and curvature. Physics Letters B 605(1-2): 106-114.

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.