PDFs in small boxes

Abstract

PDFs can be studied directly using lattice QCD by evaluating matrix elements of non-local operators. A number of groups are pursuing numerical calculations and investigating possible systematic uncertainties. One systematic that has received less attention is the effect of calculating in a finite spacetime volume. Here we present first attempts to assess the role of the finite volume for spatially non-local operators. We find that these matrix elements may suffer from large finite-volume artifacts and more careful investigation is needed.

arXiv comment6 pages, 3 figures, Conference: The 36th Annual International Symposium on Lattice Field Theory - LATTICE2018, 22-28 July, 2018, Michigan State University, East Lansing, Michigan, USA

References in corpus (4)

• Transversity parton distribution functions from lattice QCD
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass

Cited by in corpus (1)

• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model