Small size instanton contributions to the quark quasi-PDF and matching kernel
High Energy Physics - Phenomenology
2021-02-16 v1 High Energy Physics - Lattice
Abstract
We investigate the non-perturbative contribution of instantons to current matching kernels used in the context of the large momentum effective theory (LaMET). We derive explicitly these contributions using first principle semi-classical calculus for the unpolarized and polarized quark parton distributions and the matching kernel, and show that they are part of a trans-series expansion. These contributions are substantial at current lattice matching momenta.
Keywords
Cite
@article{arxiv.2102.07248,
title = {Small size instanton contributions to the quark quasi-PDF and matching kernel},
author = {Yizhuang Liu and Ismail Zahed},
journal= {arXiv preprint arXiv:2102.07248},
year = {2021}
}
Comments
24 pages, 2 figures