Determinism plus chance in random matrix theory
Condensed Matter
2007-05-23 v1 High Energy Physics - Theory
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 Br\'ezin, Hikami, and Zee. The method used here may be applied to a broad class of problems involving random matrices.
Cite
@article{arxiv.cond-mat/9505083,
title = {Determinism plus chance in random matrix theory},
author = {Anthony Zee},
journal= {arXiv preprint arXiv:cond-mat/9505083},
year = {2007}
}
Comments
12 pages, hard-copy figures available from [email protected]