Parallel session 2A
- Christopher Monahan (Institute for Nuclear Theory)
113. Evaluation of Parton Distribution Functions and Generalized Parton Distributions from their Moments and Ioffe Time Behavior
Prof. simonetta liuti (university of virginia)
Electromagnetic interactions probe the Fourier transform of the quark-quark correlation function measuring the light cone distance traveled by the struck quark during the interaction, also known as Ioffe time. The small distance behavior of the correlation function can be determined by the first few moments calculated on the lattice while its large distance behavior, exceeding the proton size,...
Alberto Accardi (Hampton U. and Jefferson Lab)
A new set of TMD sum rules is derived by relating integrals of the semi-inclusive quark-quark correlator to the fully dressed quark propagator. A complete set of momentum sum rules is obtained for the quark-quark TMDs up to twist-3 level, and for quark-gluon-quark TMDs up to twist-2. The technique is then extended to di-quark TMDs. Applications to inclusive DIS and semi-inclusive...
Mr Juan Guerrero (Hampton University/Jefferson Lab)
It has been recently proposed that PDFs can be studied directly using lattice QCD. Such studies require the evaluation of matrix of non-local operators. Since this was first proposed, there has been an intense investigation of all possible systematics except for the effects associated with the fact that lattice QCD is necessarily defined in a finite spacetime. In this talk, I present the first...
Joseph Karpie (College of William and Mary)
The Direct calculation of x-dependent parton distribution functions (PDFs) are not possible using ab initio Euclidean-space Lattice QCD, due to their definitions in terms of light-cone coordinates. I present the recent Lattice QCD calculation of pseudo PDFs, a Lorentz invariant generalization of light cone PDFs. These Lorentz invariant functions can be calculated on a Euclidean lattice and...
Dr David Richards (Jefferson Lab)
The charge radius of the nucleon can be related to the slope of the electromagnetic form factors at zero momentum transfer. Calculations of the form factors using lattice QCD are typically obtained for a discrete set of momenta $Q^2$, from which the charge radius can be inferred. We present a method to compute the slope of electromagnetic form factors directly, including at $Q^2 = 0$,...