  Recently, a non-Hermitian chiral random matrix model was proposed to describe
the eigenvalues of the QCD Dirac operator at nonzero chemical potential. This
matrix model can be constructed from QCD by mapping it to an equivalent matrix
model which has the same symmetries as QCD with chemical potential. Its
microscopic spectral correlations are conjectured to be identical to those of
the QCD Dirac operator. We investigate this conjecture by comparing large
ensembles of Dirac eigenvalues in quenched SU(3) lattice QCD at nonzero
chemical potential to the analytical predictions of the matrix model. Excellent
agreement is found in the two regimes of weak and strong non-Hermiticity, for
several different lattice volumes.
