منابع مشابه
Qcd, Chiral Random Matrix Theory and Integrability
1. Summary Random Matrix Theory has been a unifying approach in physics and mathematics. In these lectures we discuss applications of Random Matrix Theory to QCD and emphasize underlying integrable structures. In the first lecture we give an overview of QCD, its low-energy limit and the microscopic limit of the Dirac spectrum which, as we will see in the second lecture, can be described by chir...
متن کاملGlassy random matrix models.
This paper discusses random matrix models that exhibit the unusual phenomena of having multiple solutions at the same point in phase space. These matrix models have gaps in their spectrum or density of eigenvalues. The free energy and certain correlation functions of these models show differences for the different solutions. This study presents evidence for the presence of multiple solutions bo...
متن کاملChiral Random Matrix Models in QCD
(Received February 1, 2008) We review some motivation behind the introduction of chiral random matrix models in QCD, with particular emphasis on the importance of the Gell-Mann-Oakes (GOR) relation for these arguments. We show why the microscopic limit is universal in power counting, and present arguments for why the macroscopic limit is generic for a class of problems that defy power counting,...
متن کاملMultiple Minimas in Glassy Random Matrix Models
Certain simple models of structural glasses ref. [1, 2] map onto random matrix models. These random matrix models have gaps in their eigenvalue distribution. It turns out that matrix models with gaps in their eigenvalue distributions have the unusual property of multiple solutions or minimas of the free energy at the same point in phase space. I present evidence for the presence of multiple sol...
متن کاملParametric Level Correlations in Random–Matrix Models
We show that parametric level correlations in random–matrix theories are closely related to a breaking of the symmetry between the advanced and the retarded Green’s functions. The form of the parametric level correlation function is the same as for the disordered case considered earlier by Simons and Altshuler and is given by the graded trace of the commutator of the saddle–point solution with ...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1991
ISSN: 0370-2693
DOI: 10.1016/0370-2693(91)91363-z