This work presents the first calculation in lattice QCD of three moments of spin-averaged and spin-polarized generalized parton distributions in the proton. It is shown that the slope of the associated generalized form factors decreases significantly as the moment increases, indicating that the transverse size of the light-cone quark distribution decreases as the momentum fraction of the struck parton increases.
@article{arxiv.hep-lat/0312014,
title = {Transverse Structure of Nucleon Parton Distributions from Lattice QCD},
author = {LHPC and SESAM Collaborations and : and Ph. Hagler and J. W. Negele and D. B. Renner and W. Schroers and Th. Lippert and K. Schilling},
journal= {arXiv preprint arXiv:hep-lat/0312014},
year = {2012}
}