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Fermions coupled to Skyrmions on S^3

Steffen Krusch
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Abstract

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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Steffen Krusch. 2003-04-30. Fermions coupled to Skyrmions on S^3. https://doi.org/10.1088/0305-4470%2F36%2F29%2F318

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