在 twisted-mass 海上的 overlap 价夸克 QCD Anderson transition
QCD Anderson transition with overlap valence quarks on a twisted-mass sea
Robin Kehr, Dominik Smith, Lorenz von Smekal
备注：
16 pages, 16 figures, revised version with edits, added references and new appendix 'Correlation analysis' in response to comments received and the review proces on Phys. Rev. D (agrees with accepted version), results unchanged
本研究通过分析无质量 overlap 算符在 tmfT 规范位形上的谱分布，探测了 QCD Anderson transition，发现迁移率边缘的温度依赖性符合二次多项式且在低于手性相变温度时消失。
摘要：
在本研究中，我们通过研究无质量 overlap 算符在由 twisted mass at finite temperature collaboration (tmfT) 创建的规范位形上的谱分布，来探测 QCD Anderson transition，这些位形包含 2+1+1 味动力学夸克并使用 Iwasaki 规范作用量。我们通过考虑两种不同的格距和多个物理体积来评估有限尺寸效应和离散化效应，并通过立体投影来模拟逼近连续极限的过程。通过拟合 overlap Dirac 本征模的参与比拐点，我们估计了迁移率边缘的温度依赖性，低于该边缘时夸克模式是局域化的。我们观察到它可以用二次多项式很好地描述，并在低于手性转变的赝临界温度时系统性地消失。事实上，我们在误差范围内的最佳估计与 QCD 在手性极限下的手性相变温度相吻合。
英文摘要：
In this work we probe the QCD Anderson transition by studying spectral distributions of the massless overlap operator on gauge configurations created by the twisted mass at finite temperature collaboration (tmfT) with 2+1+1 flavors of dynamical quarks and the Iwasaki gauge action. We assess finite-size and discretization effects by considering two different lattice spacings and several physical volumes, and mimic the approach to the continuum limit through stereographic projection. Fitting the inflection points of the participation ratios of the overlap Dirac eigenmodes, we obtain estimates of the temperature dependence of the mobility edge, below which quark modes are localized. We observe that it is well-described by a quadratic polynomial and systematically vanishes at temperatures below the pseudocritical one of the chiral transition. In fact, our best estimates within errors overlap with that of the chiral phase transition temperature of QCD in the chiral limit.
