New Developments In Non-Hermitian Random Matrix Models

Details New Developments In Non-Hermitian Random Matrix Models New Developments In Non-Hermitian Random Matrix Models

1997-08-20

arxiv.org/abs/hep-ph/9708418v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 8 EPS figures included; Talk presented by M.A. Nowak at the NATO Workshop ``New Developments in Quantum Field Theory

Scientific paper

In this talk we go over several new developments regarding the techniques for a large class of non-hermitian matrix models with unitary randomness (complex random numbers). In particular, we discuss: (a) - A diagrammatic approach based on a $1/N$ expansion (b) - A generalization of the addition theorem (R-transformation) (c) - A conformal transformation on the position of pertinent singularities (d) - A `phase' analysis using appropriate partition functions (e) - A number of two-point functions and the issue of universality.

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