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.

7 pages, 2 figures

References in corpus (8)

• Matches and mismatches in the descriptions of semi-inclusive processes at low and high transverse momentum
• Flavor Structure of the Nucleon Sea from Lattice QCD
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Quasi-parton distribution functions: a study in the diquark spectator model
• QCD Factorization and PDFs from Lattice QCD Calculation

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