BMN Correlators by Loop Equations

Details BMN Correlators by Loop Equations BMN Correlators by Loop Equations

2002-09-27

arxiv.org/abs/hep-th/0209244v1

JHEP 0210 (2002) 027

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 10 figures

Scientific paper

10.1088/1126-6708/2002/10/027

In the BMN approach to N=4 SYM a large class of correlators of interest are expressible in terms of expectation values of traces of words in a zero-dimensional Gaussian complex matrix model. We develop a loop-equation based, analytic strategy for evaluating such expectation values to any order in the genus expansion. We reproduce the expectation values which were needed for the calculation of the one-loop, genus one correction to the anomalous dimension of BMN-operators and which were earlier obtained by combinatorial means. Furthermore, we present the expectation values needed for the calculation of the one-loop, genus two correction.

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