Universal Correlators from Random Matrix Models.

Gernot Akemann



Abstract

Random matrix models are useful in a variety of physical applications. Their most important feature is that correlation functions of matrices are computable exactly, the results being universal i.e. potential independent. The main technique herefore is an iterative solution in 1/N of the corresponding loop equation. The most general case of a multi-band eigenvalue density is presented, which classifies the different universality classes of the correlators.


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