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Title: Moments of Ioffe time parton distribution functions from non-local matrix elements

Abstract

Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

Authors:
 [1]; ORCiD logo [1];  [2]
  1. The College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Heidelberg Univ., Heidelberg (Germany)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1489800
Report Number(s):
JLAB-THY-18-2872; DOE/OR/23177-4585; arXiv:1807.10933
Journal ID: ISSN 1029-8479; PII: 9486
Grant/Contract Number:  
FG02-04ER41302; AC05-0623177; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Lattice Quantum Field Theory

Citation Formats

Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States: N. p., 2018. Web. doi:10.1007/JHEP11(2018)178.
Karpie, Joseph, Orginos, Kostas, & Zafeiropoulos, Savvas. Moments of Ioffe time parton distribution functions from non-local matrix elements. United States. doi:10.1007/JHEP11(2018)178.
Karpie, Joseph, Orginos, Kostas, and Zafeiropoulos, Savvas. Wed . "Moments of Ioffe time parton distribution functions from non-local matrix elements". United States. doi:10.1007/JHEP11(2018)178. https://www.osti.gov/servlets/purl/1489800.
@article{osti_1489800,
title = {Moments of Ioffe time parton distribution functions from non-local matrix elements},
author = {Karpie, Joseph and Orginos, Kostas and Zafeiropoulos, Savvas},
abstractNote = {Here, we examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the MS¯ scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.},
doi = {10.1007/JHEP11(2018)178},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2018,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
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Cited by: 9 works
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Figures / Tables:

Figure 1 Figure 1: Left: The first and second derivative of $M(ν, z^2)$ with respect to $ν$ at $ν$ = 0 rescaled by $i$ as defined in Eq. (3.6). Right: The two lowest moments of the isovector unpolarized PDFs at µ = 3 GeV versus $z^2$. The shaded error bands are themore » QCDSF results for the same pion mass (≈ 600 MeV) obtained from [32] at the same scale $µ$ = 3 GeV. At low $z^2$ the perturbative matching seems to work well as indicated by the independence of the moment on $z^2$.« less

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.