English

Various Shades of Blue's Functions

High Energy Physics - Theory 2009-09-25 v2 chao-dyn Condensed Matter High Energy Physics - Lattice High Energy Physics - Phenomenology Chaotic Dynamics Nuclear Theory

Abstract

We discuss random matrix models in terms of elementary operations on Blue's functions (functional inverse of Green's functions). We show that such operations embody the essence of a number of physical phenomena whether at/or away from the critical points. We illustrate these assertions by borrowing on a number of recent results in effective QCD in vacuum and matter. We provide simple physical arguments in favor of the universality of the continuum QCD spectral oscillations, whether at zero virtuality, in the bulk of the spectrum or at the chiral critical points. We also discuss effective quantum systems of disorder with strong or weak dissipation (Hatano-Nelson localization).

Keywords

Cite

@article{arxiv.hep-th/9710103,
  title  = {Various Shades of Blue's Functions},
  author = {Romuald A. Janik and Maciej A. Nowak and Gabor Papp and Ismail Zahed},
  journal= {arXiv preprint arXiv:hep-th/9710103},
  year   = {2009}
}

Comments

53 pages with 14 EPSF figures included. Fig. 8 replaced