Loop equations for multi-cut matrix models
高能物理 - 理论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.hep-th/9503185,
title = {Loop equations for multi-cut matrix models},
author = {Gernot Akemann},
journal= {arXiv preprint arXiv:hep-th/9503185},
year = {2007}
}
备注
17 pages, 1 figure