论文标题
（3+1） - 维度$ z_2 $ gauge-higgs模型的张量重新归一化组研究有限密度
Tensor renormalization group study of (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density
论文作者
论文摘要
我们使用张量重量化组方法研究了有限密度的（3+1） - 维度$ z_2 $ z_2 $ gauge-higgs模型，以及零密度的（2+1）维度。我们专注于沿临界端线的有限化学电位处的希格斯阶段与限制阶段之间的相变。在（2+1）维模型中，所得端点与蒙特卡洛模拟的最新数值估计是一致的。但是，在（3+1）维情况下，临界端点的位置表明与平均场近似和蒙特卡洛研究的已知估计值分歧。这是张量重新归一化组方法在四维晶格仪理论中的第一个应用，也是对有限密度QCD相结构的未来研究的关键垫脚石。
We investigate the critical endpoints of the (3+1)-dimensional $Z_2$ gauge-Higgs model at finite density together with the (2+1)-dimensional one at zero density as a benchmark using the tensor renormalization group method. We focus on the phase transition between the Higgs phase and the confinement phase at finite chemical potential along the critical end line. In the (2+1)-dimensional model, the resulting endpoint is consistent with a recent numerical estimate by the Monte Carlo simulation. In the (3+1)-dimensional case, however, the location of the critical endpoint shows disagreement with the known estimates by the mean-field approximation and the Monte Carlo studies. This is the first application of the tensor renormalization group method to a four-dimensional lattice gauge theory and a key stepping stone toward the future investigation of the phase structure of the finite density QCD.
