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This work applies lattice QCD to compute quark momentum distributions in the nucleon. We explore a novel approach based on non-local operators in order to analyze transverse momentum dependent parton distribution functions, which encode information about the intrinsic motion of quarks inside the nucleon. Our calculations are based on MILC gauge configurations and domain wall fermion propagators from LHPC. One interesting observation is that the transverse momentum dependent density of polarized quarks in a polarized nucleon is visibly deformed. Moreover, we can test the assumption that longitudinal and transverse momentum dependence factorize within a certain kinematical region. A more elaborate operator geometry is required to enable a quantitative comparison to azimuthal asymmetries observable in experiments such as semi-inclusive deeply inelastic scattering, and to study time-reversal odd distributions such as the Sivers function. First steps in this direction are encouraging.
Transverse momentum dependent parton distribution functions (TMDPDFs) encode information about the intrinsic motion of quarks inside the nucleon. They are important non-perturbative ingredients in our understanding of, e.g., azimuthal asymmetries and
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
A better understanding of transverse momentum (k_T-) dependent quark distributions in a hadron is needed to interpret several experimentally observed large angular asymmetries and to clarify the fundamental role of gauge links in non-abelian gauge th
We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark operator connect
Lattice QCD calculations of transverse momentum-dependent parton distribution functions (TMDs) in nucleons are presented, based on the evaluation of nucleon matrix elements of quark bilocal operators with a staple-shaped gauge connection. Both time-r