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Chiral Symmetry and the Low-Energy Spectrum of the QCD Dirac Operator
J. J. M. Verbaarschot
The order parameter of the chiral phase transition is directly related to the infrared part of the spectrum of the QCD Dirac operator. This part of the spectrum follows from the lo…
Random Matrices and the Convergence of Partition Function Zeros in Finite Density QCD
M. A. Halasz, J. C. Osborn, M. A. Stephanov +1
We apply the Glasgow method for lattice QCD at finite chemical potential to a schematic random matrix model (RMM). In this method the zeros of the partition function are obtained b…
The Infrared Limit of the QCD Dirac Spectrum
J. J. M. Verbaarschot
The distribution of the low-lying QCD Dirac spectrum is analyzed by means of partial quenched chiral perturbation theory. We identify an energy scale below which the valence quark…
The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
D. Toublan, J. J. M. Verbaarschot
We study the spectrum of the QCD Dirac operator for two colors with fermions in the fundamental representation and for two or more colors with adjoint fermions. For flavors,…
The Infrared Limit of the QCD Dirac Spectrum and Applications oc chiral Random Matrix Theory to QCD
J. J. M. Verbaarschot
In the first part of these lectures we discuss the infrared limit of the spectrum of the QCD Dirac operator. We discuss the global symmetries of the QCD partition function and show…