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.
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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.
|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:||09 Jul 2010 08:34|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/23536 (The current URI for this page, for reference purposes)|
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