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Fermions coupled to Skyrmions on S^3

High Energy Physics - Theory 2008-11-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0304264,
  title  = {Fermions coupled to Skyrmions on S^3},
  author = {Steffen Krusch},
  journal= {arXiv preprint arXiv:hep-th/0304264},
  year   = {2008}
}

Comments

31 pages, 6 figures