Akemann Gernot, Wettig Tilo
Service de Physique Théorique, CEA/DSM/SPhT Saclay, Unité de recherche associée au CNRS, F-91191 Gif-sur-Yvette, France.
Phys Rev Lett. 2004 Mar 12;92(10):102002. doi: 10.1103/PhysRevLett.92.102002. Epub 2004 Mar 10.
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.
最近，有人提出了一个非厄米手征随机矩阵模型来描述非零化学势下QCD狄拉克算子的本征值。这个矩阵模型可以通过将QCD映射到一个与具有化学势的QCD具有相同对称性的等效矩阵模型来构建。据推测，其微观谱关联与QCD狄拉克算子的微观谱关联相同。我们通过比较非零化学势下淬火SU(3)格点QCD中狄拉克本征值的大系综与矩阵模型的解析预测来研究这一推测。对于几种不同的格点体积，在弱非厄米性和强非厄米性这两种情况下都发现了极好的一致性。
