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arXiv · hep-th/9207020

Higher Genus Correlators for the Complex Matrix Model

J. Ambjorn·C. F. Kristjansen·Y. M. Makeenko
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Abstract

We describe an iterative scheme which allows us to calculate any multi-loop correlator for the complex matrix model to any genus using only the first in the chain of loop equations. The method works for a completely general potential and the results contain no explicit reference to the couplings. The genus $g$ contribution to the $m$--loop correlator depends on a finite number of parameters, namely at most $4g-2+m$. We find the generating functional explicitly up to genus three. We show as well that the model is equivalent to an external field problem for the complex matrix model with a logarithmic potential.

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J. Ambjorn, C. F. Kristjansen, Y. M. Makeenko. 1992-07-08. Higher Genus Correlators for the Complex Matrix Model. https://doi.org/10.1142/s0217732392002573

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