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Title: Updated lattice results for parton distributions

Authors:
; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1373132
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 1; Related Information: CHORUS Timestamp: 2017-07-27 22:11:19; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, Steffens, Fernanda, and Wiese, Christian. Updated lattice results for parton distributions. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.014513.
Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, Steffens, Fernanda, & Wiese, Christian. Updated lattice results for parton distributions. United States. doi:10.1103/PhysRevD.96.014513.
Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Hadjiyiannakou, Kyriakos, Jansen, Karl, Steffens, Fernanda, and Wiese, Christian. 2017. "Updated lattice results for parton distributions". United States. doi:10.1103/PhysRevD.96.014513.
@article{osti_1373132,
title = {Updated lattice results for parton distributions},
author = {Alexandrou, Constantia and Cichy, Krzysztof and Constantinou, Martha and Hadjiyiannakou, Kyriakos and Jansen, Karl and Steffens, Fernanda and Wiese, Christian},
abstractNote = {},
doi = {10.1103/PhysRevD.96.014513},
journal = {Physical Review D},
number = 1,
volume = 96,
place = {United States},
year = 2017,
month = 7
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 27, 2018
Publisher's Accepted Manuscript

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  • Using weak coupling methods McLerran and Venugopalan expressed the parton distributions in large nuclei as correlation functions of a two-dimensional Euclidean field theory. The theory has the dimensionful coupling {ital g}{sup 2}{mu}, where {mu}{sup 2}{approximately}{ital A}{sup 1/3} is the valence quark color charge squared per unit area. We use a lattice regularization to investigate these correlation functions both analytically and numerically for the simplified case of SU(2) gauge theory. In weak coupling ({ital g}{sup 2}{mu}{ital L}{lt}5), where {ital L} is the transverse size of the nucleus, the numerical results agree with the {ital analytic} lattice weak coupling results. For {italmore » g}{sup 2}{mu}{ital L}{gt}5, no solutions exist at {ital O}({ital a}{sup 4}) where {ital a} is the lattice spacing. This suggests an ill-defined infrared behavior for the two-dimensional theory. A recent proposal of Jalilian-Marian, Kovner, McLerran, and Weigert for an {ital analytic} solution of the classical problem is discussed briefly. {copyright} {ital 1996 The American Physical Society.}« less
  • We extract the x dependence of the nonsinglet u-d distribution function in the nucleon from the lowest few moments calculated on the lattice, using an extrapolation formula which ensures the correct behavior in the chiral and heavy quark limits. We discuss the implications for the quark mass dependence of meson masses lying on the J(PC)=1(--) Regge trajectory.
  • We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the accuracy with which the x-dependence of both the valence and sea quark distributions in the pion can be extracted. The resulting valence quark distributions at the physical pion mass are in fair agreement with existing Drell-Yan data, but the statistical errors are such that one cannot yet confirm (or rule out) the large-x behavior expected from hadron helicity conservation in perturbative QCD. One can expect,more » however, that the next generation of calculations in lattice QCD will allow one to extract parton distributions with a level of accuracy comparable with current experiments.« less
  • We review the calculation of moments of both the polarized and unpolarized parton distribution functions of the nucleon in lattice QCD, and in particular their extrapolation to the physical region. We also discuss the reconstruction of the x dependence of the valence quark distributions in the nucleon from a finite number of lattice moments.
  • We present a comprehensive study of the lowest moments of nucleon generalized parton distributions in N_f=2+1 lattice QCD using domain wall valence quarks and improved staggered sea quarks. Our investigation includes helicity dependent and independent generalized parton distributions for pion masses as low as 350 MeV and volumes as large as (3.5 fm)^3.