Non-dipolar Wilson links for quasi-parton distribution functions

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.

Figures (2)

• Figure 1: One-loop real corrections to the quasi-parton distribution function.
• Figure 2: One-loop virtual corrections to the quasi-parton distribution function.