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from Part II - Solitons and Topology; Non-Abelian Theory
Published online by Cambridge University Press: 04 March 2019
We consider the Skyrmion solution of classical field theory. We define the Skyrme model as the extension of the nonlinear sigma model of QCD by the addition of a new “Skyrme term”. We analyze the model and define a topological “winding number” for the scalars in spacetime. The Skyrmion solution is found by imposing a “hedgehog” ansatz for the scalars. Generalizations of the model are studied, the Skyrme–Faddeev model and the DBI–Skyrme model, for which we identify the solution, the DBI–Skyrmion.
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