English

Parton distribution functions on the lattice and in the continuum

High Energy Physics - Lattice 2018-04-18 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

Ioffe-time distributions, which are functions of the Ioffe-time ν\nu, are the Fourier transforms of parton distribution functions with respect to the momentum fraction variable xx. 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.

Keywords

Cite

@article{arxiv.1710.08288,
  title  = {Parton distribution functions on the lattice and in the continuum},
  author = {Joseph Karpie and Kostas Orginos and Anatoly Radyushkin and Savvas Zafeiropoulos},
  journal= {arXiv preprint arXiv:1710.08288},
  year   = {2018}
}

Comments

8 pages, 10 figures. arXiv admin note: text overlap with arXiv:1706.05373