| dc.contributor.author | Sonner, Julian | |
| dc.contributor.author | Tong, David | |
| dc.date.accessioned | 2011-11-01T13:36:34Z | |
| dc.date.available | 2011-11-01T13:36:34Z | |
| dc.date.issued | 2009-05 | |
| dc.date.submitted | 2008-10 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/66697 | |
| dc.description.abstract | We study a simple quantum mechanical model of a spinning particle moving on a sphere in the presence of a magnetic field. The system has two ground states. As the magnetic field is varied, the ground states mix through a non-Abelian Berry phase. We show that this Berry phase is the path ordered exponential of the smooth SU(2) ’t Hooft–Polyakov monopole. We further show that, by adjusting a potential on the sphere, the monopole becomes a Bogomol’nyi-Prasad-Sommerfield monopole and obeys the Bogomol’nyi equations. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant No. PHY-0600465) | en_US |
| dc.description.sponsorship | United States. Dept. of Energy (cooperative research agreement No. DEFG02-05ER41360) | en_US |
| dc.description.sponsorship | Royal Society (Great Britain) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Physical Society | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevLett.102.191801 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | APS | en_US |
| dc.title | Scheme for building a t'Hooft-Polyakov monopole | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Sonner, Julian, and David Tong. “Scheme for Building a ’t Hooft–Polyakov Monopole.” Physical Review Letters 102 (2009) © 2009 The American Physical Society. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Center for Theoretical Physics | en_US |
| dc.contributor.approver | Sonner, Julian | |
| dc.contributor.mitauthor | Sonner, Julian | |
| dc.relation.journal | Physical Review Letters | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Sonner, Julian; Tong, David | en |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
