Exact Solution of 1-matrix Model

Details Exact Solution of 1-matrix Model Exact Solution of 1-matrix Model

1996-03-07

arxiv.org/abs/hep-th/9603038v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, uses LaTeX, based on a contribution paper for the proceedings of the workshop "Frontiers in Quantum Field Theory", h

Scientific paper

I review my new method for solving general 1-matrix models by expanding in $N^{-1}$ without taking a physical continuum limit. Using my method, each coefficient of the free energy in the genus expansion is exactly computable. One can include physical information in a function which is uniquely specified by the action of the model. My method gives completely the same result with the usual one if the physical fine tuning is done and the leading singular terms are extracted. I also calculate in the genus three case and confirm the validity of my method.

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