Publications
Publication Information
| Title | Lattice QCD exploration of parton pseudo-distribution functions |
| Authors | Konstantinos Orginos, Anatoly Radyushkin, Joseph Karpie, Savvas Zafeiropoulos |
| JLAB number | JLAB-THY-17-2494 |
| LANL number | arXiv:1706.05373 |
| Other number | DOE/OR/23177-4189 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | National Science Foundation |
|
Journal Compiled for Physical Review D Volume 96 Issue 09 Page(s) 094503 Refereed | |
| Publication Abstract: | We demonstrate a new method of extracting parton distributions from lattice calculations. The starting idea is to treat the generic equal-time matrix element M(Pz_3, z_3^2) as a function of the Ioffe time \nu = P z_3 and the distance z_3. The next step is to divide M(Pz_3, z_3^2) by the rest-frame density M (0, z_3^2). Our lattice calculation shows a linear exponential z_3-dependence in the rest-frame function, expected from the Z(z_3^2) factor generated by the gauge link. Still, we observe that the ratio M (Pz_3 , z_3^2)/M (0, z_3^2) has a Gaussian-type behavior with respect to z_3 for 6 values of $P$ used in the calculation. This means that Z(z_3^2) factor was canceled in the ratio. When plotted as a function of \nu and z_3, the data are very close to z_3-independent functions. This phenomenon corresponds to factorization of the x- and k_\perp-dependence for the TMD F (x, k_\perp^2). For small z_3 < 4a, the residual z_3-dependence is explained by perturbative evolution, with \alpha_s/\pi =0.1. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.96.094503 |
| Accepted Manuscript: | 1706.05373.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |