String theories as the adiabatic limit of Yang-Mills theory

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dc.identifier.uri http://dx.doi.org/10.15488/2519
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2545
dc.contributor.author Popov, Alexander D.
dc.date.accessioned 2017-11-28T15:30:12Z
dc.date.available 2017-11-28T15:30:12Z
dc.date.issued 2015
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, No. 45003. DOI: https://doi.org/10.1103/PhysRevD.92.045003
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
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review D 92 (2015), Nr. 4
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
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
dc.type article
dc.type Text
dc.relation.issn 15507998
dc.relation.doi https://doi.org/10.1103/PhysRevD.92.045003
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 92
dc.bibliographicCitation.firstPage 45003
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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