Speaker
Tilo Wettig
(University of Regensburg)
Description
We consider the chiral extension of the real Ginibre ensemble of random
matrices with dynamical flavors to study the spectrum of the Dirac operator in
two-color QCD with nonzero baryon chemical potential. We show that at maximum
non-Hermiticity the random-matrix model is equivalent to the low-energy
effective theory at high density in the epsilon regime. We obtain the
microscopic spectral density of the Dirac eigenvalues in the limits of both
strong and weak non-Hermiticity for a general number of flavors. We illustrate
the main characteristics of the spectrum and comment on the sign problem for
non-degenerate quark masses. Our results can in principle be checked by
lattice QCD simulations.
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Primary authors
Naoki Yamamoto
(INT Seattle)
Takuya Kanazawa
(University of Tokyo)
Tilo Wettig
(University of Regensburg)
