1997/08/20 by Romuald A. Janik, Maciej A. Nowak, Janik, Romuald A. +7
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Chaotic Dynamics (nlin.CD) #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications #chao-dyn #cond-mat #hep-ph #nlin.CD
paper · pdf · doi:10.48550/arxiv.hep-ph/9708418
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
arxiv created 1997/08/20 · openalex publication_date 1997/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.