Skyrmions, instantons, mass and curvature

Michael Atiyah; Paul Sutcliffe

doi:10.1016/j.physletb.2004.11.015

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arXiv · hep-th/0411052

Skyrmions, instantons, mass and curvature

Michael Atiyah·Paul Sutcliffe

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Abstract

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.

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Michael Atiyah, Paul Sutcliffe. 2004-11-04. Skyrmions, instantons, mass and curvature. https://doi.org/10.1016/j.physletb.2004.11.015

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