结构函数来源于康普顿振幅

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019) Pub Date : 2020-01-14 DOI:10.22323/1.363.0137

QCDSF-UKQCD-CSSM collaboration Roger Horsley, Y. Nakamura, H. Perlt, P. Rakow, G. Schierholz, K. Somfleth, R. Young, J. Zanotti

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引用次数: 7

摘要

我们编写了一个程序，用Feynman-Hellman方法计算晶格QCD的康普顿振幅。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病态的，例如，它们对系统的扰动非常敏感。本文讨论了处理这些问题的两种候选方法:基于奇异值分解的无模型反演方法和单贝叶斯方法。我们将贝叶斯方法应用于目前可用的康普顿振幅的晶格数据。

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Structure functions from the Compton amplitude

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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Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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