论文标题
使用贝叶斯 - 沃斯 - 英语变换从晶格QCD发出的Parton分布功能
Parton distribution functions from lattice QCD using Bayes-Gauss-Fourier transforms
论文作者
论文摘要
我们提出了一种基于高斯过程回归的新方法，用于重建使用lattice QCD计算的准PDFS的Parton分布函数（PDFS）的连续$ x $依赖性。我们研究了准PDF的当前晶格计算中观察到的非物理振荡的起源，并开发了一种非参数拟合方法来采用所需的傅立叶变换。该方法在一个带有两个光夸克的最大扭曲质量费米子集合上进行了测试。我们发现，随着我们的方法振荡，准PDF的振荡大大降低了。但是，对轻锥PDF的最终影响很小。这一发现表明，当前晶格QCD结果与现象学确定之间的偏差不能仅归因于傅立叶变换。
We present a new method, based on Gaussian process regression, for reconstructing the continuous $x$-dependence of parton distribution functions (PDFs) from quasi-PDFs computed using lattice QCD. We examine the origin of the unphysical oscillations seen in current lattice calculations of quasi-PDFs and develop a nonparametric fitting approach to take the required Fourier transform. The method is tested on one ensemble of maximally twisted mass fermions with two light quarks. We find that with our approach oscillations of the quasi-PDF are drastically reduced. However, the final effect on the light-cone PDFs is small. This finding suggests that the deviation seen between current lattice QCD results and phenomenological determinations cannot be attributed solely on the Fourier transform.
