New Developments In Non-Hermitian Random Matrix Models
High Energy Physics - Phenomenology
2008-02-03 v1 chao-dyn
Condensed Matter
Chaotic Dynamics
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 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.
Keywords
Cite
@article{arxiv.hep-ph/9708418,
title = {New Developments In Non-Hermitian Random Matrix Models},
author = {Romuald A. Janik and Maciej A. Nowak and Gabor Papp and Ismail Zahed},
journal= {arXiv preprint arXiv:hep-ph/9708418},
year = {2008}
}
Comments
18 pages, 8 EPS figures included; Talk presented by M.A. Nowak at the NATO Workshop ``New Developments in Quantum Field Theory'', June 14-20, 1997, Zakopane, Poland