Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-27
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 1 figure
Scientific paper
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.
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