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|Title:||Loop equations for multi-cut matrix models|
|Citation:||High Energy Physics - Theory, abstract hep-th/9503185|
|Abstract:||The loop equation for the complex one-matrix model with a multi-cut structure is derived and solved in the planar limit. An iterative scheme for higher genus contributions to the free energy and the multi-loop correlators is presented for the two-cut model, where explicit results are given up to and including genus two. The double-scaling limit is analyzed and the relation to the one-cut solution of the hermitian and complex one-matrix model is discussed.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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