Published July 25, 2003
| Version v1
Journal article
Fermions coupled to skyrmions on S3
Creators
- 1. Department of Pure Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT (United Kingdom)
Description
This paper discusses skyrmions on the 3-sphere coupled to fermions. The resulting Dirac equation commutes with a generalized angular momentum G. For G = 0 the Dirac equation can be solved explicitly for a constant Skyrme configuration and also for a SO(4) symmetric hedgehog configuration. We discuss how the spectrum changes due to the presence of a non-trivial winding number, and also consider more general Skyrme configurations numerically
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/8141/a32918.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/8141/a32918.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/29/318;
- PII
- S0305-4470(03)63414-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 29
- Journal Page Range
- p. 8141-8163
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000385
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANGULAR MOMENTUM; DIRAC EQUATION; FERMIONS; QUANTIZATION; SKYRME POTENTIAL; SO-4 GROUPS; SOLITONS; SPHERES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; LIE GROUPS; NUCLEON-NUCLEON POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; QUASI PARTICLES; SO GROUPS; SYMMETRY GROUPS; WAVE EQUATIONS