Fermions, Skyrmions and the 3-Sphere

Details Fermions, Skyrmions and the 3-Sphere Fermions, Skyrmions and the 3-Sphere

2009-08-14

arxiv.org/abs/0908.2114v1

J.Phys.A43:035402,2010

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures

Scientific paper

10.1088/1751-8113/43/3/035402

This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3-sphere. The Dirac equation for the system commutes with a generalised angular momentum or grand spin. It can be solved explicitly for a Skyrme configuration given by the hedgehog form. The energy spectrum and degeneracies are derived for all values of the grand spin. Solutions for non-zero grand spin are each characterised by a set of four polynomials. The paper also discusses the energy of the Dirac sea using zeta function regularization.

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