PDFs in small boxes

Conference · Thu Nov 01 00:00:00 EDT 2018 · Proceedings of Science (PoS)

OSTI ID:1483371

Briceno, Raul  ^[1]; Guerrero, Juan V. ^[2]; Hansen, Maxwell T. ^[3]; Monahan, Christopher J. ^[4]

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1. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
2. Hampton Univ., Hampton, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
3. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
4. Univ. of Washington, Seattle, WA (United States)

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.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• DOE Contract Number: AC05-06OR23177; SC0008791; FG02-00ER41132
• OSTI ID: 1483371
• Report Number(s): JLAB-THY-18-2876; DOE/OR/23177-4589; arXiv:1811.01286
• Journal Information: Proceedings of Science (PoS), Vol. Lattice2018; Conference: 36th International Symposium on Lattice Field Theory (Lattice 2018), 22-28 Jul 2018. East Lansing, MI, United States; Related Information: Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).
• Country of Publication: United States
• Language: English