Goatham, S.W. and Krusch, Steffen (2010) Fermions, Skyrmions and the 3sphere. Journal of Physics A: Mathematical and Theoretical, 43 (3). 035402035419. ISSN 17518113. (Full text available)
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Official URL http://dx.doi.org/10.1088/17518113/43/3/035402 
Abstract
This paper investigates a background charge one Skyrme field chirally coupled to light fermions on the 3sphere. 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 nonzero grand spin are each characterized by a set of four polynomials. The paper also discusses the energy of the Dirac sea using zetafunction 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 > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics 
Depositing User:  Steffen Krusch 
Date Deposited:  09 Jul 2010 08:34 
Last Modified:  24 Jun 2013 10:55 
Resource URI:  http://kar.kent.ac.uk/id/eprint/23536 (The current URI for this page, for reference purposes) 
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