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arXiv 1111.1939hep-lat
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用HISQ action计算有限温度下含(2+1)味动力学夸克的Dirac算符的本征值分布

Eigenvalue distribution of the Dirac operator at finite temperature with (2+1)-flavor dynamical quarks using the HISQ action

H. Ohno, U. M. Heller, F. Karsch, S. Mukherjee

摘要:

本文利用HISQ作用量研究了有限温度下(2+1)-味QCD中Dirac算符的本征值分布。我们计算了在接近伪临界温度的几个温度值下的本征值密度。在这项研究中,我们使用规范场配置上产生的晶格大小$32^3 \times 8$与两个轻夸克质量对应的π介子质量约160和115兆电子伏。我们发现,低于$T_c$的本征值密度从近零模得到很大的贡献,这些模随着温度的升高或轻夸克质量的减小而变小。此外,我们没有找到明确的证据,差距的本征值密度高达1.1 $T_c$。我们还分析了$T_c$附近的本征值密度,它似乎显示出一个幂律的行为与预期在临界区附近的二阶手征对称性恢复相变在无质量的限制。

英文摘要:

We report on the behavior of the eigenvalue distribution of the Dirac operator in (2+1)-flavor QCD at finite temperature, using the HISQ action. We calculate the eigenvalue density at several values of the temperature close to the pseudocritical temperature. For this study we use gauge field configurations generated on lattices of size $32^3 \times 8$ with two light quark masses corresponding to pion masses of about 160 and 115 MeV. We find that the eigenvalue density below $T_c$ receives large contributions from near-zero modes which become smaller as the temperature increases or the light quark mass decreases. Moreover we find no clear evidence for a gap in the eigenvalue density up to 1.1$T_c$. We also analyze the eigenvalue density near $T_c$ where it appears to show a power-law behavior consistent with what is expected in the critical region near the second order chiral symmetry restoring phase transition in the massless limit.

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