2+1风味QCD在不同拓扑扇区中的ε区中模拟
2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
摘要：
我们用参数化的不动点狄拉克算符D_{FP}在格点间距a=0.13 fm的（1.6 fm）^4盒上生成了组态。我们比较了nu= 0，1，2拓扑扇区中三个最低k= 1，2，3本征值的分布与随机矩阵理论的预测。对k和nu的所有组合，研究了最低特征值的期望值和累积特征值分布的比值。在包括来自单圈手征微扰理论的有限尺寸修正后，我们获得了MSbar方案中的手征凝聚体Sigma（2GeV）^{1/3}=0.239（11）GeV，其中误差仅为统计学的。
英文摘要：
We generated configurations with the parametrized fixed-point Dirac operator D_{FP} on a (1.6 fm)^4 box at a lattice spacing a=0.13 fm. We compare the distributions of the three lowest k=1,2,3 eigenvalues in the nu= 0,1,2 topological sectors with that of the Random Matrix Theory predictions. The ratios of expectation values of the lowest eigenvalues and the cumulative eigenvalue distributions are studied for all combinations of k and nu. After including the finite size correction from one-loop chiral perturbation theory we obtained for the chiral condensate in the MSbar scheme Sigma(2GeV)^{1/3}=0.239(11) GeV, where the error is statistical only.
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