Speaker
Description
The hadronic matrix elements of bi-local operators at short Euclidean
separations evaluated as a function of Ioffe time can be related to
the convolution of the universal parton distribution functions (PDFs) and a
short-distance kernel. In this talk, we describe the method,
beginning with the needed renormalizations for the
case of quark and antiquark fields separated by a Wilson line, and for
the case of two gauge-invariant currents. We then proceed to discuss
the techniques developed to address the ``inverse problem'' needed to
obtain the PDFs from the hadronic matrix elements calculated on the
lattice. Finally, we present our programme of calculations for the
pion and for the nucleon, and possible extensions to explore the
three-dimensional structure of hadrons.
