论文标题
使用Feynman-Hellmann定理的Compton振幅的晶格QCD评估
Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem
论文作者
论文摘要
正向康普顿振幅描述了从强子中描述虚拟光子散射的过程，并为理解强子结构提供了必不可少的成分。作为物理振幅，康普顿张量自然包含所有目标质量校正和更高的扭曲效果，即固定的虚拟性，$ q^2 $。通过利用二阶Feynman-Hellmann定理，在跨晶格QCD中计算核子compton张量，该QCD在一个频繁的QUARK质量质量上计算出一定范围的Photon Momenta $ 3 \ Lessim Q^2 \ Lessim 7 $ GEV $ GEV $^2 $。这允许首次在晶格计算中研究核子结构低矩的$ q^2 $依赖性。结果表明，现在可以进行系统调查和对Parton渐近学的方法进行研究。
The forward Compton amplitude describes the process of virtual photon scattering from a hadron and provides an essential ingredient for the understanding of hadron structure. As a physical amplitude, the Compton tensor naturally includes all target mass corrections and higher twist effects at a fixed virtuality, $Q^2$. By making use of the second-order Feynman-Hellmann theorem, the nucleon Compton tensor is calculated in lattice QCD at an unphysical quark mass across a range of photon momenta $3 \lesssim Q^2 \lesssim 7$ GeV$^2$. This allows for the $Q^2$ dependence of the low moments of the nucleon structure functions to be studied in a lattice calculation for the first time. The results demonstrate that a systematic investigation of power corrections and the approach to parton asymptotics is now within reach.
