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Law of addition in random matrix theory

Name: Law of addition in random matrix theory
Creator: A. Zee
Keywords: Hamiltonians, High Energy Physics - Theory, Stochastic methods applied to problems in equilibrium statistical mechanics, probability distribution, High Energy Physics - Theory (hep-th), Condensed Matter (cond-mat), 0103 physical sciences, eigenvalues, FOS: Physical sciences, Condensed Matter

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 1996Embargo end date: 01 Jan 1996Publisher:Elsevier BVJournal:Nuclear Physics B, volume 474, pages 726-744 (issn: 0550-3213,

Authors: A. Zee;

doi: 10.1016/0550-3213(96)00276-3 , 10.48550/arxiv.cond-mat/9602146

arXiv: http://arxiv.org/abs/cond-mat/9602146

Law of addition in random matrix theory

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Abstract

We discuss the problem of adding random matrices, which enable us to study Hamiltonians consisting of a deterministic term plus a random term. Using a diagrammatic 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��zin, Hikami, and Zee. The method used here may be applied to a broad class of problems involving random matrices.

17 pages, Latex with special macro appended, hard figs available from: mason@itp.ucsb.edu

Related Organizations

University of California, Santa Barbara
United States

Keywords

Hamiltonians, High Energy Physics - Theory, Stochastic methods applied to problems in equilibrium statistical mechanics, probability distribution, High Energy Physics - Theory (hep-th), Condensed Matter (cond-mat), eigenvalues, FOS: Physical sciences, Condensed Matter, Green's function, nonabelian central limit theorem

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