dc.identifier.uri |
http://dx.doi.org/10.15488/4869 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/4912 |
|
dc.contributor.author |
Harland, Derek
|
|
dc.contributor.author |
Kuerkcueoglu, Seckin
|
|
dc.date.accessioned |
2019-05-27T08:55:29Z |
|
dc.date.available |
2019-05-27T08:55:29Z |
|
dc.date.issued |
2009 |
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dc.identifier.citation |
Harland, D.; Kuerkcueoglu, S.: Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices. In: Nuclear Physics B 821 (2009), Nr. 1-2, S. 380-398. DOI: https://doi.org/10.1016/j.nuclphysb.2009.06.031 |
|
dc.description.abstract |
We consider a U(2) Yang-Mills theory on M x S(F)(2) where M is a Riemannian manifold and S(F)(2) is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine the most general SU(2)equivariant gauge field on M x S(F)(2). This allows us to reduce the Yang-Mills theory on M x S(F)(2) down to an Abelian Higgs-type model over M. Depending on the enforcement (or non-enforcement) of a "constraint" term, the latter may (or may not) lead to the standard critically-coupled Abelian Higgs model in the comutative limit, S(F)(2) -> S(2). For M = R(2), we find that the Abelian Higgs-type model admits vortex solutions corresponding to instantons in the original Yang-Mills theory. Vortices are in general no longer BPS, but may attract or repel according to the values of parameters. (C) 2009 Elsevier B.V. All rights reserved. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Amsterdam : Elsevier |
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dc.relation.ispartofseries |
Nuclear Physics B 821 (2009), Nr. 1-2 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Non-commutative geometry |
eng |
dc.subject |
Solitons |
eng |
dc.subject |
Field theories in higher dimensions |
eng |
dc.subject |
Space-time symmetries |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices |
|
dc.type |
Article |
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dc.type |
Text |
|
dc.relation.essn |
1873-1562 |
|
dc.relation.issn |
0550-3213 |
|
dc.relation.doi |
https://doi.org/10.1016/j.nuclphysb.2009.06.031 |
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dc.bibliographicCitation.issue |
1-2 |
|
dc.bibliographicCitation.volume |
821 |
|
dc.bibliographicCitation.firstPage |
380 |
|
dc.bibliographicCitation.lastPage |
398 |
|
dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|