论文标题

康普顿振幅的结构功能

Structure functions from the Compton amplitude

论文作者

CSSM collaboration, Horsley, Roger, Nakamura, Yoshifumi, Perlt, Holger, Rakow, Paul E. L., Schierholz, Gerrit, Somfleth, Kim, Young, Ross D., Zanotti, James M.

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.

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