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Transverse momentum dependent parton distribution functions (TMDPDFs) encodeinformation about the intrinsic motion of quarks inside the nucleon. They areimportant non-perturbative ingredients in our understanding of, e.g., azimuthalasymmetries and other qualitative features in semi-inclusive deep inelasticscattering experiments. We present first calculations on the lattice, based onMILC gauge configurations and propagators from LHPC. They yield polarized andunpolarized transverse momentum dependent quark densities and enable us to testthe assumption of factorization in x and transverse momentum. The operators weemploy are non-local and contain a Wilson line, whose renormalization requiresthe removal of a divergence linear in the cutoff 1/a.

Transverse momentum distributions of quarks in the nucleon from Lattice QCD