Fermions coupled to Skyrmions on S^3

Details Fermions coupled to Skyrmions on S^3 Fermions coupled to Skyrmions on S^3

2003-04-30

arxiv.org/abs/hep-th/0304264v1

J.Phys.A36:8141,2003

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 6 figures

Scientific paper

10.1088/0305-4470/36/29/318

This paper discusses Skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically.

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