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arXiv 1908.07050hep-lat
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多强子格点量子色动力学关联函数的稀疏化算法

Sparsening Algorithm for Multi-Hadron Lattice QCD Correlation Functions

W. Detmold, D. J. Murphy, A. V. Pochinsky, M. J. Savage, P. E. Shanahan, M. L. Wagman

备注：
18 pages, 5 figures, 4 tables
发表信息：
Phys. Rev. D 104, 034502 (2021)
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摘要：

格点量子色动力学计算算法的现代进展已经稳步降低了生成规范场系综和计算夸克传播子所需的资源，因此，在与核物理相关的情况下，执行夸克收缩以从传播子组装关联函数已成为主要成本。本工作探讨了一种传播子稀疏算法，用于形成描述多强子系统（如轻核）的关联函数，以降低计算成本。该算法构造关联函数从稀疏传播定义在一个粗格几何，其中稀疏传播获得从传播计算满格。用该算法研究了低能QCD基态谱，采用了一个能量为$m_π \approx 800$ MeV的Wilson-clover格点系综.研究发现，由稀疏传播子和全传播子构造的关联函数得到的基态质量和结合能以及它们的统计不确定性是一致的.此外，虽然在稀疏的关联函数中观察到修改后的耦合到激发态的证据，它表明，这些影响可以被删除，如果需要的话，与廉价的修改稀疏估计。

英文摘要：

Modern advances in algorithms for lattice QCD calculations have steadily driven down the resources required to generate gauge field ensembles and calculate quark propagators, such that, in cases relevant to nuclear physics, performing quark contractions to assemble correlation functions from propagators has become the dominant cost. This work explores a propagator sparsening algorithm for forming correlation functions describing multi-hadron systems, such as light nuclei, with reduced computational cost. The algorithm constructs correlation functions from sparsened propagators defined on a coarsened lattice geometry, where the sparsened propagators are obtained from propagators computed on the full lattice. This algorithm is used to study the low-energy QCD ground-state spectrum using a single Wilson-clover lattice ensemble with $m_π \approx 800$ MeV. It is found that the extracted ground state masses and binding energies, as well as their statistical uncertainties, are consistent when determined from correlation functions constructed from sparsened and full propagators. In addition, while evidence of modified couplings to excited states is observed in sparsened correlation functions, it is demonstrated that these effects can be removed, if desired, with an inexpensive modification to the sparsened estimator.

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