On the topological charge of SO(2) gauged Skyrmions in 2+1 and 3+1 dimensions

Navarro-Lérida, Francisco and Radu, Eugen and Tchrakian, D. H. (2018) On the topological charge of SO(2) gauged Skyrmions in 2+1 and 3+1 dimensions. (Preprint)

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Abstract

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+1 dimensions. 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.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	25 Jul 2019 15:54
Last Modified:	16 Dec 2022 09:05
URI:	https://dair.dias.ie/id/eprint/1049

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