2017/05/31 by A. V. Radyushkin · 2 citations
Physics and Astronomy · #hep-ph #hep-lat #nucl-th
paper · pdf · doi:10.1103/physrevd.96.034025
published as Phys. Rev. D 96, 034025 (2017) · 6 pages, 3 figures, changes in text and references
arxiv created 2017/08/01 · arxiv updated 2017/09/06
We show that quasi-PDFs may be treated as hybrids of PDFs and primordial rest-frame momentum distributions of partons. This results in a complicated convolution nature of quasi-PDFs that necessitates using large p3 ∼ 3 GeV momenta to get reasonably close to the PDF limit. As an alternative approach, we propose to use pseudo-PDFs P(x, z32) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time distributions M (ν, z32), the functions of the Ioffe time ν= p3 z3 and the distance parameter z32 with respect to which it displays perturbative evolution for small z3. In this form, one may divide out the z32 dependence coming from the primordial rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The ν-dependence remains intact and determines the shape of PDFs.