论文标题
康普顿振幅的结构功能
Structure functions from the Compton amplitude
论文作者
论文摘要
我们已经启动了一个程序,以Feynman-Hellman方法从Lattice QCD计算Compton振幅。该幅度通过第一类的弗雷霍尔姆积分方程与结构函数有关。众所周知,这些类型的方程固有地位不足 - 例如,它们对系统的扰动极为敏感。我们讨论两种方法,是解决这些问题的候选方法:基于单数值分解和一种贝叶斯类型方法的模型反转。我们将贝叶斯方法应用于康普顿振幅当前可用的晶格数据。
We have initiated a program to compute the Compton amplitude from lattice QCD with the Feynman-Hellman method. This amplitude is related to the structure function via a Fredholm integral equation of the first kind. It is known that these types of equations are inherently ill--posed - they are, e.g., extremely sensitive to perturbations of the system. We discuss two methods which are candidates to handle these problems: the model free inversion based on singular value decomposition and one Bayesian type approach. We apply the Bayesian method to currently available lattice data for the Compton amplitude.