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.
| The full text of this publication is not available from this repository. (Contact us about this Publication) | |
| Official URL http://dx.doi.org/10.1088/1751-8113/43/3/035402 |
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 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 > 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) |
- Depositors only (login required):
