论文标题
Laplacian本征模
The static energy of a quark-antiquark pair from Laplacian eigenmodes
论文作者
论文摘要
我们测试了一种计算晶状体QCD中静态夸克式的电位的方法，该方法不是基于威尔逊循环，而是基于协变量晶格拉普拉斯操作员的特征向量成分形成的试验状态。当计算静态电位不仅用于轴上，而且对于许多非轴Quark-Antiquark分离，即当需要精细的空间分辨率时，该方法的运行时间明显小于标准Wilson环计算的标准Wilson环计算。我们通过使用多个特征向量对，并通过特征值的高斯轮廓函数加权来进一步改善信号，从而为广义特征值问题（GEVP）提供了基础，因为最近引入了它以改善中森光谱蒸馏的蒸馏。我们通过动态费用的静态电势的新方法显示了结果，并证明了其与传统的威尔逊环计算相比的效率。此处介绍的方法也可以应用于计算混合动力或四夸克电势以及静态光系统。
We test a method for computing the static quark-antiquark potential in lattice QCD, which is not based on Wilson loops, but where the trial states are formed by eigenvector components of the covariant lattice Laplace operator. The runtime of this method is significantly smaller than the standard Wilson loop calculation, when computing the static potential not only for on-axis, but also for many off-axis quark-antiquark separations, i.e., when a fine spatial resolution is required. We further improve the signal by using multiple eigenvector pairs, weighted with Gaussian profile functions of the eigenvalues, providing a basis for a generalized eigenvalue problem (GEVP), as it was recently introduced to improve distillation in meson spectroscopy. We show results with the new method for the static potential with dynamical fermions and demonstrate its efficiency compared to traditional Wilson loop calculations. The method presented here can also be applied to compute hybrid or tetra-quark potentials and to static-light systems.
