发表机构
Ruhr-Universität Bochum; University of California, Berkeley; Lawrence Berkeley National Laboratory; Indiana University（波鸿鲁尔大学; 加州大学伯克利分校; 劳伦斯伯克利国家实验室; 印第安纳大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究解析推导并数值验证了格点QCD中解决左手割问题的三体方法与两体左手割形式化的等价性，同时指出两种方法忽略的指数抑制有限体积效应在小格点体积下会损害振幅提取。
AI 中文摘要
格点量子色动力学（lattice QCD）中的“左手割问题”产生于交换奇异性破坏了从有限体积谱提取散射振幅所用的标准关系。近年来，已提出多种方法解决该问题。我们通过解析推导并数值验证了[JHEP 06 (2024) 051]提出的三体方法与[JHEP 08 (2024) 075]发展的两体左手割形式化之间的等价性。我们在一个描述粒子通过单粒子交换与S波两粒子束缚态散射的标量模型中测试了该等价性。两种方法均重现了相同的无限体积粒子-束缚态振幅，并在有限体积谱中正确编码了相关的左手割。关键的是，我们发现两种形式化均忽略的指数抑制有限体积效应在数值上可能很大，会损害小格点体积下的振幅提取。
英文摘要
The "left-hand cut problem" in lattice QCD arises when exchange singularities invalidate standard relations used to extract scattering amplitudes from the finite-volume spectrum. In recent years, several approaches were proposed to resolve this problem. We establish analytically and verify numerically the equivalence between the three-body approach proposed in [JHEP 06 (2024) 051] and the two-body left-hand cut formalism developed in [JHEP 08 (2024) 075]. We test the equivalence in a scalar model describing a particle scattering from an $S$-wave two-particle bound state through one-particle exchange. Both approaches reproduce the same infinite-volume particle--bound-state amplitude and correctly encode the associated left-hand cut in the finite-volume spectrum. Crucially, we identify that the exponentially suppressed finite-volume effects neglected in both formalisms can be numerically large, compromising amplitude extraction at small lattice volumes.
Comments32 pages, 3 figures
