中文

New Developments In Non-Hermitian Random Matrix Models

高能物理 - 唯象学 2008-02-03 v1 chao-dyn 凝聚态物理 混沌动力学

摘要

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/N1/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.

关键词

引用

@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}
}

备注

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