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New Developments In Non-Hermitian Random Matrix Models

Romuald A. Janik·Maciej A. Nowak·Gabor Papp·Ismail Zahed
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Abstract

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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Romuald A. Janik, Maciej A. Nowak, Gabor Papp, Ismail Zahed. 1997-08-20. New Developments In Non-Hermitian Random Matrix Models. https://arxiv.org/abs/hep-ph/9708418

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