| Title | Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions |
| Authors | Anatoly Radyushkin |
| JLAB number | JLAB-THY-17-2455 |
| LANL number | arXiv:1705.01488 |
| Other number | DOE/OR/23177-4149 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Citation (AIP): |
A.V. Radyushkin, Phys. Rev. D 96, 034025 (2017). |
| Publication Abstract: | 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 p_3~ 3 GeV momenta to get reasonably close to the PDF limit.
As an alternative approach, we propose to use pseudo-PDFs P(x, z_3^2) that generalize the light-front PDFs onto spacelike intervals and are related to Ioffe-time distributions M (v, z_3^2), the functions of the Ioffe time v = p_3 z_3 and the distance parameter z_3^2 with respect to which it displays perturbative evolution for small z_3. In this form, one may
divide out the z_3^2 dependence coming from the primordial rest-frame distribution and from the problematic factor due to lattice renormalization of the gauge link. The v-dependence remains intact and determines the shape of PDFs. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | pdf |
| DOI: | https://doi.org/10.1103/PhysRevD.96.034025 |
| Accepted Manuscript: | 1705.01488.pdf |
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