Skyrme-Maxwell Solitons in (2+1) Dimensions

Details Skyrme-Maxwell Solitons in (2+1) Dimensions Skyrme-Maxwell Solitons in (2+1) Dimensions

1995-06-15

arxiv.org/abs/hep-th/9506099v1

Phys.Rev.D53:844-851,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LATEX, 6 postscript figures

Scientific paper

10.1103/PhysRevD.53.844

A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is $U(1)$ 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 $U(1)$ coupling constant, and this dependence is studied numerically from very weak to very strong coupling.

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