dc.identifier.uri |
http://dx.doi.org/10.15488/78 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/96 |
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dc.contributor.author |
Popov, Alexander D.
|
|
dc.date.accessioned |
2015-10-29T11:38:42Z |
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dc.date.available |
2015-10-29T11:38:42Z |
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dc.date.issued |
2015 |
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dc.identifier.citation |
Popov, Alexander D.: Loop groups in Yang-Mills theory. In: Physics Letters B 748 (2015), S. 439-442. DOI: http://dx.doi.org/10.1016/j.physletb.2015.07.041 |
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dc.description.abstract |
We consider the Yang-Mills equations with a matrix gauge group G on the de Sitter dS4, anti-de Sitter AdS4 and Minkowski R3,1R3,1 spaces. On all these spaces one can introduce a doubly warped metric in the form View the MathML sourceds2=−du2+f2dv2+h2dsH22, where f and h are the functions of u and View the MathML sourcedsH22 is the metric on the two-dimensional hyperbolic space H2H2. We show that in the adiabatic limit, when the metric on H2H2 is scaled down, the Yang–Mills equations become the sigma-model equations describing harmonic maps from a two-dimensional manifold (dS2, AdS2 or R1,1R1,1, respectively) into the based loop group ΩG=C∞(S1,G)/GΩG=C∞(S1,G)/G of smooth maps from the boundary circle S1=∂H2S1=∂H2 of H2H2 into the gauge group G. For compact groups G these harmonic map equations are reduced to equations of geodesics on ΩG, solutions of which yield magnetic-type configurations of Yang–Mills fields. The group ΩG naturally acts on their moduli space. |
eng |
dc.description.sponsorship |
DFG/LE 838/13 |
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dc.language.iso |
eng |
eng |
dc.publisher |
Amsterdam : Elsevier |
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dc.relation.ispartofseries |
Physics Letters B 748 (2015) |
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dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
http://creativecommons.org/licenses/by/4.0/ |
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dc.subject.ddc |
530 | Physik
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ger |
dc.title |
Loop groups in Yang-Mills theory |
eng |
dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0370-2693 |
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dc.relation.doi |
http://dx.doi.org/10.1016/j.physletb.2015.07.041 |
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dc.bibliographicCitation.volume |
748 |
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dc.bibliographicCitation.firstPage |
439 |
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dc.bibliographicCitation.lastPage |
442 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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