Friday, February 4, 2022, 9:00 am — Videoconference / Virtual Event (see link below)
Abstract: To calculate the PDFs from first principles in Lattice gauge theories it is convenient to consider the Ioffe-time distribution defined through gauge-invariant bi-local operators with space like separation. Lattice calculations provide values for a limited range of the distance separating the bi-local operators. In order to perform the Fourier transform and obtain the pseudo- and the quasi-PDFs, it is then necessary to extrapolate the large-distance behavior.
I will discuss the formalism one may use to study the behavior of the Ioffe-time distribution at large distances and the behavior of the pseudo- and quasi-PDFs at low Bjorken-x. Using light-ray operators, I will also show how to obtain the behavior of the leading and next-to-leading twist approximation of the pseudo- and the quasi-PDFs at low-xB.
Hosted by: Yoshitaka Hatta
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