paper

Skyrmions, instantons, mass and curvature

arXiv:hep-th/0411052 · doi:10.1016/j.physletb.2004.11.015

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.

14 pages including 5 figures

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