论文标题
Roberge-Weiss过渡的数值研究
Numerical Study of the Roberge-Weiss Transition
论文作者
论文摘要
我们通过数值研究Roberge-Weiss相变。相变与假想化学势的特定值的夸克数密度的不连续性有关。我们通过多项式拟合函数参数化夸克号密度$ρ_Q$，以计算规范分区函数。我们证明，这种方法为分析有限密度和高温分析晶格QCD数据提供了一个良好的框架。我们在数字上表明，在高温下，Lee-Yang Zeros位于负实际半轴上，只要考虑了对大规范分区函数的高夸克数贡献。这些Lee-Yang Zeros具有非零线性密度，这标志着Roberge-Weiss相变。我们证明，这种密度与过渡线处的夸克密度不连续性一致。
We study the Roberge-Weiss phase transition numerically. The phase transition is associated with the discontinuities in the quark-number density at specific values of imaginary quark chemical potential. We parameterize the quark number density $ρ_q$ by the polynomial fit function to compute the canonical partition functions. We demonstrate that this approach provides a good framework for analyzing lattice QCD data at finite density and a high temperature. We show numerically that at high temperature, the Lee-Yang zeros lie on the negative real semi-axis provided that the high-quark-number contributions to the grand canonical partition function are taken into account. These Lee-Yang zeros have nonzero linear density, which signals the Roberge-Weiss phase transition. We demonstrate that this density agrees with the quark density discontinuity at the transition line.
