https://doi.org/10.1051/epjconf/201817506032
Parton distribution functions on the lattice and in the continuum
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
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.
© The Authors, published by EDP Sciences, 2018
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/).
