Document Type

Conference Paper

Publication Date




Publication Title

Proceedings of the 38th International Symposium on Lattice Field Theory- Proceedings of Science




589 (1-6)

Conference Name

The 38th International Symposium on Lattice Field Theory, July 26-30, 2021, Zoom/Gather@MIT


We present the results that are necessary in the ongoing lattice calculations of the unpolarized and polarized gluon parton distribution functions (PDFs) within the pseudo-PDF approach. We give a classification of possible two-gluon correlator functions and identify those that contain the invariant amplitude determining the gluon PDF in the light-cone z2 → 0 limit. One-loop calculations have been performed in the coordinate representation and in an explicitly gauge-invariant form. We made an effort to separate ultraviolet (UV) and infrared (IR) sources of the ln(−z2)-dependence at short distances z2. The UV terms cancel in the reduced Ioffe-time distribution (ITD), and we obtain the matching relation between the reduced ITD and the light-cone ITD. Using a kernel form, we get a direct connection between lattice data for the reduced ITD and the normalized gluon PDF.


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Original Publication Citation

Balitsky, I., Morrisa, W., & Radyushkina, A. (2022). Unpolarized and polarized gluon pseudo-distributions at short distances: Forward case. 38th International Symposium on Lattice Field Theory, Zoom/Gather@MIT.