English

Moments of Ioffe time parton distribution functions from non-local matrix elements

High Energy Physics - Lattice 2018-12-26 v3 High Energy Physics - Phenomenology

Abstract

We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS\overline{MS} scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in excellent agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

Keywords

Cite

@article{arxiv.1807.10933,
  title  = {Moments of Ioffe time parton distribution functions from non-local matrix elements},
  author = {Joseph Karpie and Kostas Orginos and Savvas Zafeiropoulos},
  journal= {arXiv preprint arXiv:1807.10933},
  year   = {2018}
}

Comments

1+11 pages, 1 figure, version to appear in JHEP