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arXiv · hep-th/0209244

BMN Correlators by Loop Equations

B. Eynard·C. Kristjansen
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Abstract

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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B. Eynard, C. Kristjansen. 2002-09-27. BMN Correlators by Loop Equations. https://doi.org/10.1088/1126-6708%2F2002%2F10%2F027

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