标题： 向从积分关联函数中提取散射相移 II：相对论格点场论模型 显示英文标题

标题： Toward extracting the scattering phase shift from integrated correlation functions II: a relativistic lattice field theory model

摘要： 在本工作中，推导出一个相对论关系，通过积分将有限体积中相互作用与非相互作用的积分二粒子关联函数的差值与无限体积散射相移联系起来。 我们证明，积分有限体积关联函数的差值随着周期性盒子大小的增加迅速收敛到其无限体积极限。 我们提出的形式的快速收敛性通过接触相互作用模型的解析解、微扰理论计算以及复杂$\phi^4$格点场论模型的蒙特卡罗模拟进行了说明。 显示英文摘要

摘要： In present work, a relativistic relation that connects the difference of interacting and non-interacting integrated two-particle correlation functions in finite volume to infinite volume scattering phase shift through an integral is derived. We show that the difference of integrated finite volume correlation functions converge rapidly to its infinite volume limit as the size of periodic box is increased. The fast convergence of our proposed formalism is illustrated by analytic solutions of a contact interaction model, the perturbation theory calculation, and also Monte Carlo simulation of a complex $\phi^4$ lattice field theory model.