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Lessons from Random Matrix Theory for QCD at Finite Density
K. Splittorff, J. J. M. Verbaarschot
In this lecture we discuss various aspects of QCD at nonzero chemical potential, including its phase diagram and the Dirac spectrum, and summarize what chiral random matrix theory…
Statistical QCD with non-positive measure
J. C. Osborn, K. Splittorff, J. J. M. Verbaarschot
In this talk we discuss the microscopic limit of QCD at nonzero chemical potential. In this domain, where the QCD partition function is under complete analytical control, we uncove…
Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
J. C. Osborn, K. Splittorff, J. J. M. Verbaarschot
The Dirac spectrum of QCD with dynamical fermions at nonzero chemical potential is characterized by three regions, a region with a constant eigenvalue density, a region where the e…
Chiral Condensate at Nonzero Chemical Potential in the Microscopic Limit of QCD
J. C. Osborn, K. Splittorff, J. J. M. Verbaarschot
The chiral condensate in QCD at zero temperature does not depend on the quark chemical potential (up to one third the nucleon mass), whereas the spectral density of the Dirac opera…
Nonhermitian Supersymmetric Partition Functions: the case of one bosonic flavor
K. Splittorff, J. J. M. Verbaarschot, M. R. Zirnbauer
We discuss the supersymmetric formulation of the nonhermitian random matrix partition function with one bosonic flavor. This partition function is regularized by adding one…