标题： 格点QCD中欧几里得关联函数矩的谱重建 显示英文标题

标题： Spectral reconstruction of Euclidean correlator moments in lattice QCD

摘要： 提出了一种格点量子色动力学（QCD）谱重建的新应用方法，该方法利用固定时间范围内的欧几里得相关函数数据来推断超出该范围的值，从而实现对大时间渐近行为的模型无关研究。同时确定了相关函数的矩，并将不同矩之间的重建相关矩阵包含在类似于标准广义本征值问题（GEVP）的变分优化中。这些思想通过在 $N_{\rm}=2+1$ 规范构型集合上确定的单核子相关函数在 $m_{\pi} = 200{\rm MeV}$ 进行了说明。 显示英文摘要

摘要： A novel application of lattice QCD spectral reconstruction is presented, in which euclidean correlation function data in a fixed time range are used to infer values outside the range, enabling a model-independent investigation of the asymptotic large-time behavior. Moments of the correlator are also determined, and reconstructed correlation matrices between different moments are included in a variational optimization similar to the standard Generalized Eigenvalue Problem (GEVP). These ideas are illustrated using a single-nucleon correlation function determined on an $N_{\rm}=2+1$ ensemble of gauge configurations at $m_{\pi} = 200{\rm MeV}$.