Nucleon Structure from Lattice QCD Calculations

Abstract

Parton distribution and correlation functions describe the relation between a hadron and the quarks and gluons (or collectively, the partons) within it, and carry rich information on hadron's partonic structure that cannot be calculated by QCD perturbation theory. In this talk, I will review what lattice QCD can and cannot do for calculating the parton distribution and correlation functions, and the new ideas and efforts around the world to explore nucleon structure from lattice QCD calculations by combining the strength of both lattice QCD and perturbative QCD in such a way that is complementary to our on-going effort to extract these fundamental functions from experimental data.

Parton distribution functions from Ioffe time pseudo-distributions

“…Other Good Lattice Cross Sections have been calculated to extract the pion DA [36,37] and the pion PDF [38]. We refer the reader to [39][40][41][42] for detailed reviews of these topics. Possible difficulties with these approaches were raised in [43,44].…”