Various Shades of Blue's Functions

Details Various Shades of Blue's Functions Various Shades of Blue's Functions

1997-10-13

arxiv.org/abs/hep-th/9710103v2

Acta Phys.Polon. B28 (1997) 2949

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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).

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