细长或运动有限体积中的哈密顿有效场论
Hamiltonian effective field theory in elongated or moving finite volume
摘要:
我们扩展以前的工作,在哈密顿有效场论的静止帧分波混频的伸长和移动系统,其中两个粒子是在一个周期性的伸长立方体或有非零的总动量,分别。我们还考虑了两个系统的组合时,伸长和动量的方向一致。这个扩展也应该适用于任何哈密顿形式。作为示范,我们分析了一个同位旋-2 $ππ$散射系统光谱的格点量子色动力学结果,确定了$s$,$d$和$g$的分波散射信息。包含来自移动帧的晶格模拟结果显著改善了散射信息中的不确定性。
英文摘要:
We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively. We also consider the combination of the two systems when directions of the elongation and the moving momentum are aligned. This extension should also be applicable in any Hamiltonian formalism. As a demonstration, we analyze lattice QCD results for the spectrum of an isospin-2 $ππ$ scattering system and determine the $s$, $d$, and $g$ partial-wave scattering information. The inclusion of lattice simulation results from moving frames significantly improves the uncertainty in the scattering information.
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