Please use this identifier to cite or link to this item:
DC FieldValue
dc.titleMonopoles, vortices, and kinks in the framework of noncommutative geometry
dc.contributor.authorTeo, E.
dc.contributor.authorTing, C.
dc.identifier.citationTeo, E.,Ting, C. (1997-08-15). Monopoles, vortices, and kinks in the framework of noncommutative geometry. Physical Review D - Particles, Fields, Gravitation and Cosmology 56 (4) : 2291-2302. ScholarBank@NUS Repository.
dc.description.abstractNoncommutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum state, should it be nonunique. A consequence is that Yang-Mills-Higgs theory can be reformulated as a generalized Yang-Mills gauge theory on Euclidean space with a Z2 internal structure. By extending the Hodge star operation to this noncommutative space, we are able to define the notion of self-duality of the gauge curvature form in arbitrary dimensions. It turns out that BPS monopoles, critically coupled vortices, and kinks are all self-dual solutions in their respective dimensions. We then prove, within this unified formalism, that static soliton solutions to the Yang-Mills-Higgs system exist only in one, two, and three spatial dimensions.
dc.contributor.departmentCOMPUTATIONAL SCIENCE
dc.description.sourcetitlePhysical Review D - Particles, Fields, Gravitation and Cosmology
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

Page view(s)

checked on Oct 12, 2019

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.