Fermions, Skyrmions and the 3-Sphere
High Energy Physics - Theory
2010-01-15 v1
Abstract
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.
Cite
@article{arxiv.0908.2114,
title = {Fermions, Skyrmions and the 3-Sphere},
author = {Stephen W. Goatham and Steffen Krusch},
journal= {arXiv preprint arXiv:0908.2114},
year = {2010}
}
Comments
19 pages, 2 figures