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.
Highlights
The proton and neutron are the fundamental building blocks of all atomic nuclei and make up essentially all the visible matter in the universe, including the stars, the planets, and us
Quantum Chromodynamics (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
For which we can calculate the σei→e′ X ′ in QCD perturbation theory at the scale Q - a consequence of the asymptotic freedom, that provides us the well-controlled short-distance “probe(s)” to effectively “see” the quark(s) and/or gluon(s) at a sub-femtometer distance (∼ 1/Q); it is the matching functions that link the quark and/or gluon at such a short distance inside the observed hadron to provide the rich information on the hadron’s partonic structure; and it is the universality of these matching functions, extracted from one or few experimental measurements and used to predict and to be tested in many other experiments, that ensures the predictive power of QCD
Summary
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
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