Navarro Lerida, FranciscoRadu, EugenTchrakian, D. H.2023-10-242023-10-242019-02-130370-269310.1016/j.physletb.2019.02.011https://hdl.handle.net/20.500.14352/88384The question of the dependence of the topological charge qof 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 +1dimensions, andii)The O(4)model in 3 +1dimensions. In casei), where the (usual) Chern–Simons (CS) term is present, the value of qchanges sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In caseii), in which dimensions no CS density is available, the evolution of qis not observed.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal article1873-2445https://www.sciencedirect.com/science/article/pii/S0370269319301042?via%3Dihubopen access5351-73SolitonsSkyrmionsTopological chargeInstantonsFísica matemáticaFísica-Modelos matemáticos2212 Física Teórica