Parton distribution functions on the lattice and in the continuum

Joseph Karpie; Kostas Orginos; Anatoly Radyushkin; Savvas Zafeiropoulos

doi:10.1051/epjconf/201817506032

All issues

Volume 175 (2018)

EPJ Web Conf., 175 (2018) 06032

Abstract

Open Access

Issue		EPJ Web Conf. Volume 175, 2018 35^th International Symposium on Lattice Field Theory (Lattice 2017)


Article Number		06032
Number of page(s)		8
Section		6 Hadron Structure
DOI		https://doi.org/10.1051/epjconf/201817506032
Published online		26 March 2018

EPJ Web of Conferences 175, 06032 (2018)
https://doi.org/10.1051/epjconf/201817506032

Parton distribution functions on the lattice and in the continuum

Joseph Karpie¹^,2, Kostas Orginos¹^,2^*, Anatoly Radyushkin²^,3 and Savvas Zafeiropoulos¹^,2^,4

¹ Department of Physics, The College of William & Mary, Williamsburg, VA 23187, USA
² Thomas Jefferson National Accelerator Facility, Newport News, VA 23606, USA
³ Physics Department, Old Dominion University, Norfolk, VA 23529, USA
⁴ Institute for Theoretical Physics, Universität Heidelberg, Philosophenweg 12, D-69120 Germany

^* Speaker, e-mail: kostas@wm.edu

Published online: 26 March 2018

Abstract

Ioffe-time distributions, which are functions of the Ioffe-time ν, are the Fourier transforms of parton distribution functions with respect to the momentum fraction variable x. These distributions can be obtained from suitable equal time, quark bilinear hadronic matrix elements which can be calculated from first principles in lattice QCD, as it has been recently argued. In this talk I present the first numerical calculation of the Ioffe-time distributions of the nucleon in the quenched approximation.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).

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