Show simple item record

dc.contributor.authorHOUGHTON, CONOR JAMES
dc.date.accessioned2008-09-25T15:31:29Z
dc.date.available2008-09-25T15:31:29Z
dc.date.issued2001
dc.date.submitted2001en
dc.identifier.citationHoughton, Conor J. and Krusch, Steffan 'Folding in the Skyrme model' in the Journal of Mathematical Physics, 42, 2001, pp 4079-4100en
dc.identifier.issn0022-2488
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/22379
dc.descriptionPUBLISHEDen
dc.description.abstractThere are only three stable singularities of a differentiable map between three-dimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond to the points where the baryon density vanishes. In this article we consider the singularity structure of Skyrme configurations. The Skyrme model can only be solved numerically. However, there are good analytic ansatze. The simplest of these, the rational map ansatz, has a nongeneric singularity structure. This leads us to introduce a nonholomorphic ansatz as a generalization. For baryon numbers 2, 3, and 4, the approximate solutions derived from this ansatz are closer in energy to the true solutions than any other ansatz solution. We find that there is a tiny amount of negative baryon density for baryon number 3, but none for 2 or 4. We comment briefly on the relationship to Bogomolny?Prasad?Sommerfield monopolesen
dc.description.sponsorshipWe would like to thank N S Manton for useful discussion and for drawing our attention to the literature concerning the singularities of differentiable maps. One of us, S K thanks PPARC and the Studienstiftung des deutschen Volkes for financial assistance.en
dc.format.extent4079en
dc.format.extent4100en
dc.format.extent309219 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.relation.ispartofseriesJournal Mathematics Physicsen
dc.relation.ispartofseries42en
dc.rightsYen
dc.subjectPure & Applied Mathematicsen
dc.titleFolding in the Skyrme model.en
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/houghtcj
dc.identifier.rssurihttp://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JMAPAQ000042000009004079000001&idtype=cvips&prog=normal
dc.identifier.rssurihttp://uk.arxiv.org/abs/hep-th/0104222


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record