[NT/RIKEN seminar] Parton distributions in Euclidean space

by Anatoly Radyushkin (ODU/JLab)

Friday 19 Apr 2019, 14:00 → 15:00 US/Eastern

CFNS room 2-38 (Bldg. 510A)

To extract parton distributions from the  lattice  simulations, one needs to consider matrix elements M(z,p) of bilocal correlators  of parton fields [generically written as φ(0)φ(z)]  at spacelike separations z=(0,0,0,z_3). A transition to PDFs may be proceeded by taking a Fourier transform either with respect to z_3  for fixed p_3 (which gives X. Ji's quasi-PDFs), or with respect to the Lorentz-invariant variable ν=-(zp) for  fixed values of another Lorentz invariant z^2  [which results in pseudo-PDFs].These functions are interesting on their own,  and I will discuss,  in the  continuum case, their general properties,   the connection between the two types of functions,  and their relation with the usual light-cone PDFs. I will outline the  algorithm of extracting the  PDFs through the use of the so-called "reduced Ioffe-time distributions",and illustrate this  pseudo-PDF-oriented approach  on the example of exploratory lattice simulations performed by Orginos et al.