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Determinism plus chance in random matrix theory

Anthony Zee
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Abstract

We study Hamiltonians consisting of a deterministic term plus a random term. Using a daigrammatic approach and introducing the concept of "gluon connectedness," we calculate the density of energy levels for a wide class of probability distributions governing the random term, thus generalizing a result obtained recently by Brézin, Hikami, and Zee. The method used here may be applied to a broad class of problems involving random matrices.

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Anthony Zee. 1995-05-18. Determinism plus chance in random matrix theory. https://arxiv.org/abs/cond-mat/9505083

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