%0 Journal Article
%A Navarro Lerida, Francisco
%A Radu, Eugen
%A Tchrakian, D. H.
%T On the topological charge of S O (2) gauged Skyrmions in 2+1 and 3+1 dimensions
%D 2019
%@ 0370-2693
%U https://hdl.handle.net/20.500.14352/13457
%X The question of the dependence of the topological charge q of a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with SO (2) are studied and contrasted: i) The O (3) model in 2 + 1 dimensions, and ii) The O(4) model in 3 + 1dimensions. In case i), where the (usual) Chern-Simons (CS) term is present, the value of q changes sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In case ii), in which dimensions no CS density is available, the evolution of q is not observed. (C) 2019 The Author(s). Published by Elsevier B.V.
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