康普顿振幅的结构函数
Structure functions from the Compton amplitude
摘要：
我们已经启动了一个用Feynman-Hellman方法计算格点量子色动力学的康普顿振幅的程序。该振幅通过第一类Fredholm积分方程与结构函数相关。众所周知，这些类型的方程本质上是不适定的，例如，对系统的扰动非常敏感。我们讨论了两种方法，这是候选人来处理这些问题：基于奇异值分解的无模型反演和贝叶斯类型的方法。我们将贝叶斯方法应用到目前可用的晶格数据的康普顿振幅。
英文摘要：
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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