Large N limit of 2D Yang-Mills Theory and Instanton Counting

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dc.creatorMatsuo, Toshihiro
dc.creatorMatsuura, So
dc.creatorOhta, Kazutoshi
dc.date2004-06-22
dc.date2004-11-03
dc.date.accessioned2026-07-07T10:49:58Z
dc.date.available2026-07-07T10:49:58Z
dc.descriptionWe examine the two-dimensional U(N) Yang-Mills theory by using the technique of random partitions. We show that the large N limit of the partition function of the 2D Yang-Mills theory on S^2 reproduces the instanton counting of 4D N=2 supersymmetric gauge theories introduced by Nekrasov. We also discuss that we can take the ``double scaling limit'' by fixing the product of the N and cell size in Young diagrams, and the effective action given by Douglas and Kazakov is naturally obtained by taking this limit. We give an interpretation for our result from the view point of the superstring theory by considering a brane configuration that realizes 4D N=2 supersymmetric gauge theories.
dc.description19 pages, 4 figures, LaTeX 2e, typos corrected, references added and a figure replaced
dc.identifierhttps://arxiv.org/abs/hep-th/0406191
dc.identifierhttp://arxiv.org/abs/hep-th/0406191
dc.identifierJHEP0503:027,2005
dc.identifierdoi:10.1088/1126-6708/2005/03/027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184404
dc.subjectHigh Energy Physics - Theory
dc.titleLarge N limit of 2D Yang-Mills Theory and Instanton Counting
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