Phys. Rev. Lett. 92, 102002 (2004) [4 pages]QCD Dirac Operator at Nonzero Chemical Potential: Lattice Data and Matrix ModelSee Also: Erratum Received 5 August 2003; published 10 March 2004 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 a 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.102002
DOI:
10.1103/PhysRevLett.92.102002
PACS:
12.38.Gc, 02.10.Yn
See AlsoErratum: Gernot Akemann and Tilo Wettig, Erratum: QCD Dirac Operator at Nonzero Chemical Potential: Lattice Data and Matrix Model [Phys. Rev. Lett. 92, 102002 (2004)], Phys. Rev. Lett. 96, 029902 (2006). |
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