Multi-particle systems on the lattice and chiral extrapolations: a brief review
Multi-particle systems on the lattice and chiral extrapolations: a brief review
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DOI：
10.1140/epjs/s11734-021-00146-5
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发表时间：
2021-02
期刊：
影响因子：
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通讯作者：
M. Mai;M. Döring;A. Rusetsky
中科院分区：
文献类型：
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作者：
M. Mai;M. Döring;A. Rusetsky
从格点QCD的有限体积能级中提取二体和三体强子散射振幅以及低激发态强子共振的性质是一个迅速发展的研究领域。使用各种修改的Lüscher有限体积法开辟了一条道路，计算无限体积散射振幅的晶格。近年来，人们对不同的二体和三体散射过程获得了许多新的结果，包括从晶格数据中提取共振极点及其性质。然而，这样的研究，需要强大的参数化的无限体积散射振幅，这依赖于S-矩阵理论的基本性质和最好的，包括系统与夸克质量的物理点和远离。这类参数化，提供了统一的手征微扰理论，在这篇评论中进行了讨论。特别注意的是在晶格上的三体系统，由于在该领域的兴趣迅速增长。在这里，我们简要地调查的形式主义，手征外推，以及有限体积分析的晶格数据。
The extraction of two- and three-body hadronic scattering amplitudes and the properties of the low-lying hadronic resonances from the finite-volume energy levels in lattice QCD represents a rapidly developing field of research. The use of various modifications of the Lüscher finite-volume method has opened a path to calculate infinite-volume scattering amplitudes on the lattice. Many new results have been obtained recently for different two- and three-body scattering processes, including the extraction of resonance poles and their properties from lattice data. Such studies, however, require robust parametrizations of the infinite-volume scattering amplitudes, which rely on basic properties ofS-matrix theory and—preferably—encompass systems with quark masses at and away from the physical point. Parametrizations of this kind, provided by unitarized Chiral Perturbation Theory, are discussed in this review. Special attention is paid to three-body systems on the lattice, owing to the rapidly growing interest in the field. Here, we briefly survey the formalism, chiral extrapolation, as well as finite-volume analyses of lattice data.