论文标题
晶格QCD中质子的非偏振和螺旋性广义分布
Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
论文作者
论文摘要
我们介绍了质子广义Parton分布（GPD）在晶状体QCD中的$ x $依赖性的第一个计算。对于ISOVETOR的非极化和螺旋性GPD获得的结果。我们计算出适当的矩阵元素的快速移动质子，并耦合到包含威尔逊线的非本地运算符。我们介绍了质子动量的结果$ 0.83，\，1.25，\，1.67 $ GEV和动量转移平方$ 0.69，\，1.38 $ GEV $^2 $。这些组合包括零偏度和非零偏度的情况。使用两个退化的质量光的合奏进行计算，这是一个奇怪的和一个带有三叶草术语的最大扭曲质量费米的夸张夸克。晶格结果在大动量有效理论的框架内使用一环扰动理论与轻锥GPD匹配。最终的GPD以$ \ Overline {\ rm MS} $方案的比例为2 GEV给出。
We present the first calculation of the $x$-dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix elements of fast-moving protons coupled to non-local operators containing a Wilson line. We present results for proton momenta $0.83,\,1.25,\,1.67$ GeV, and momentum transfer squared $0.69,\,1.38$ GeV$^2$. These combinations include cases with zero and nonzero skewness. The calculation is performed using one ensemble of two degenerate mass light, a strange and a charm quark of maximally twisted mass fermions with a clover term. The lattice results are matched to the light-cone GPDs using one-loop perturbation theory within the framework of large momentum effective theory. The final GPDs are given in the $\overline{\rm MS}$ scheme at a scale of 2 GeV.
