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skyrme–dbi model

Cambridge University Press (1)

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21 - The Skyrmion Scalar Field Solution and Topology
from Part II - Solitons and Topology; Non-Abelian Theory
Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
Book:

Classical Field Theory

Published online:

04 March 2019

Print publication:

14 March 2019, pp 195-202
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Summary

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.