Non-perturbative effects in the BMN limit of Script N=4 supersymmetric Yang-Mills | Zendy

Michael Green | Zendy; Aninda Sinha | Zendy; Stefano Kovacs | Zendy

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Non-perturbative effects in the BMN limit of Script N=4 supersymmetric Yang-Mills

Author(s) -

Michael Green,

Aninda Sinha,

Stefano Kovacs

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/12/038

Subject(s) - instanton , physics , mathematical physics , superstring theory , limit (mathematics) , yang–mills existence and mass gap , gauge theory , invariant (physics) , moduli , trace (psycholinguistics) , supersymmetry , non perturbative , quantum mechanics , quantum electrodynamics , mathematics , mathematical analysis , linguistics , philosophy

One-instanton contributions to the correlation functions of twogauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory arestudied in semi-classical approximation in the BMN limit. The moststraightforward examples involve operators with four bosonic impurities. Theexplicit form for the correlation functions, which determine the anomalousdimensions, follows after integration over the large number of bosonic andfermionic moduli. Our results demonstrate that the instanton contributionsscale appropriately in the BMN limit. We find impressive agreement with theD-instanton contributions to mass matrix elements of the dual plane-wave IIBsuperstring theory, obtained in a previous paper. Not only does the dependenceon the scaled coupling constants match, but the dependence on the mode numbersof the states is also in striking agreement.Comment: 52 pages, no figures, latex; V2: minor change

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