Fermions, Skyrmions and the 3-sphere

Goatham, S.W. and Krusch, Steffen (2010) Fermions, Skyrmions and the 3-sphere. Journal of Physics A: Mathematical and Theoretical, 43 (3). 035402-035419. ISSN 1751-8113. (doi:https://doi.org/10.1088/1751-8113/43/3/035402) (Full text available)

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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 generalized 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 characterized by a set of four polynomials. The paper also discusses the energy of the Dirac sea using zeta-function regularization.

Item Type: Article
Subjects: Q Science > QC Physics > QC174.12 Quantum theory
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Q Science > QC Physics > QC20 Mathematical Physics
Q Science > QC Physics > QC174.12 Quantum theory > QC174.26.W28 Topological solitons
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 09 Jul 2010 08:34 UTC
Last Modified: 24 Jun 2013 10:55 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23536 (The current URI for this page, for reference purposes)
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