Non-dipolar Wilson links for quasi-parton distribution functions
Hsiang-nan Li
TL;DR
This paper introduces a modified quasi-parton distribution function with orthogonal Wilson links, removing linear divergences and improving the extraction of light-cone PDFs from lattice data.
Contribution
It proposes a non-dipolar Wilson link structure for QPDFs that eliminates linear divergences at one-loop level, enhancing the matching to LPDFs.
Findings
Linear divergence removed at one-loop level.
Non-dipolar Wilson links enable reliable LPDF extraction.
Improved matching between Euclidean lattice data and light-cone PDFs.
Abstract
We propose a modified definition for a quasi-parton distribution function (QPDF) with an equal-time correlator in the large momentum limit, whose two pieces of space-like Wilson links are oriented in orthogonal directions. It is explicitly shown at one-loop level that the linear divergence in the original QPDF with dipolar Wilson links, which complicates its matching to the standard light-cone parton distribution function (LPDF), is removed. The LPDF can then be extracted reliably from Euclidean lattice data for the QPDF with the non-dipolar Wilson links.
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