dc.identifier.uri |
http://dx.doi.org/10.15488/2519 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2545 |
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dc.contributor.author |
Popov, Alexander D.
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dc.date.accessioned |
2017-11-28T15:30:12Z |
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dc.date.available |
2017-11-28T15:30:12Z |
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dc.date.issued |
2015 |
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dc.identifier.citation |
Popov, A.D.: String theories as the adiabatic limit of Yang-Mills theory. In: Physical Review D - Particles, Fields, Gravitation and Cosmology 92 (2015), Nr. 4, 45003. DOI: https://doi.org/10.1103/PhysRevD.92.045003 |
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dc.description.abstract |
We consider Yang-Mills theory with a matrix gauge group G on a direct product manifold M=Σ2×H2, where Σ2 is a two-dimensional Lorentzian manifold and H2 is a two-dimensional open disc with the boundary S1=∂H2. The Euler-Lagrange equations for the metric on Σ2 yield constraint equations for the Yang-Mills energy-momentum tensor. We show that in the adiabatic limit, when the metric on H2 is scaled down, the Yang-Mills equations plus constraints on the energy-momentum tensor become the equations describing strings with a world sheet Σ2 moving in the based loop group ΩG=C∞(S1,G)/G, where S1 is the boundary of H2. By choosing G=Rd−1,1 and putting to zero all parameters in ΩRd−1,1 besides Rd−1,1, we get a string moving in Rd−1,1. In another paper of the author, it was described how one can obtain the Green-Schwarz superstring action from Yang-Mills theory on Σ2×H2 while H2 shrinks to a point. Here we also consider Yang-Mills theory on a three-dimensional manifold Σ2×S1 and show that in the limit when the radius of S1 tends to zero, the Yang-Mills action functional supplemented by a Wess-Zumino-type term becomes the Green-Schwarz superstring action. © 2015 American Physical Society. |
eng |
dc.language.iso |
eng |
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dc.publisher |
College Park, MD : American Physical Society |
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dc.relation.ispartofseries |
Physical Review D 92 (2015), Nr. 4 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
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dc.subject |
Differential equations |
eng |
dc.subject |
Magnetism |
eng |
dc.subject |
Double-well potential |
eng |
dc.subject |
Electric magnetic |
eng |
dc.subject |
Magnetic solutions |
eng |
dc.subject |
Newtonian dynamics |
eng |
dc.subject |
Ordinary matrix |
eng |
dc.subject |
Spatially homogeneous |
eng |
dc.subject |
SU(2) yang-mills theory |
eng |
dc.subject |
Yang-Mills equation |
eng |
dc.subject |
Ordinary differential equations |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
String theories as the adiabatic limit of Yang-Mills theory |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
15507998 |
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dc.relation.doi |
https://doi.org/10.1103/PhysRevD.92.045003 |
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dc.bibliographicCitation.issue |
4 |
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dc.bibliographicCitation.volume |
92 |
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dc.bibliographicCitation.firstPage |
45003 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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