论文标题
构建Laplacian eigenmodes的静态Quark-Anti-Quark创建运营商
Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
论文作者
论文摘要
我们根据协变三维晶格拉普拉斯操作员的特征向量形成的试验状态研究了静态夸克反夸克操作员。我们通过计算静态夸克 - 夸克电势并将结果与标准的威尔逊环测量值进行比较来测试该方法。这种新方法不仅有效，而且对于需要良好的空间分辨率时，对于许多离轴夸克 - 夸克分离也是有效的。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，进一步改善了地面重叠，提供了变化的基础。此处介绍的方法可以应用于具有固定末端，混合或四夸克电势的Gluonic弦的所有可能激发的潜在功能，以及静态光系统，并允许可视化Laplace试验状态的空间分布。
We investigate static quark anti-quark operators based on trial states formed from eigenvectors of the covariant three-dimensional lattice Laplace operator. We test the method by computing the static quark-anti-quark potential and comparing results to standard Wilson loop measurements. The new method is efficient not only for on-axis, but also for many off-axis quark-anti-quark separations when a fine spatial resolution is required. We further improve the ground-state overlap by using multiple eigenvector pairs, weighted with Gaussian profile functions of the eigenvalues, providing a variational basis. The method presented here can be applied to potential functions for all possible excitations of a gluonic string with fixed ends, hybrid or tetra-quark potentials, as well as static-light systems and allows visualization of the spatial distribution of the Laplace trial states.
