Skyrme-Maxwell Solitons in (2+1) Dimensions
J. Gladikowski, B.M.A.G. Piette, B.J. Schroers (University of, Durham)
TL;DR
This paper explores a (2+1)-dimensional gauged Skyrme model with a U(1) gauge group, revealing stable soliton solutions with magnetic flux that varies with coupling strength, and discusses their properties in detail.
Contribution
It introduces a gauged (2+1)-dimensional Skyrme model with Maxwell dynamics and analyzes the properties of its topologically stable solitons.
Findings
Solitons carry non-quantized magnetic flux.
Electric fields for these solitons are zero.
Shape, mass, and flux depend on the coupling constant.
Abstract
A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton solutions carrying magnetic flux which is not topologically quantized. The properties of rotationally symmetric solitons of degree one and two are discussed in detail. It is shown that the electric field for such solutions is necessarily zero. The solitons' shape, mass and magnetic flux depend on the coupling constant, and this dependence is studied numerically from very weak to very strong coupling.
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