Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics
Abstract
In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $$32^3\times 64$$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge fields using the gradient flow, and solve the summed generalized eigenvalue problem to determine the glounic matrix elements. Combining these techniques allows us to provide a statistically well-controlled Ioffe-time distribution and unpolarized gluon PDF. We obtain the flow time independent reduced Ioffe-time pseudo-distribution, and calculate the light-cone Ioffe-time distribution and unpolarized gluon distribution function in the $$\overline{\rm MS}$$ scheme at $$\mu = 2$$ GeV, neglecting the mixing of the gluon operator with the quark singlet sector. Finally, we compare our results to phenomenological determinations.
- 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); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- Contributing Org.:
- HadStruc Collaboration
- OSTI Identifier:
- 1832916
- Alternate Identifier(s):
- OSTI ID: 1834301
- Report Number(s):
- JLAB-THY-21-3469; DOE/OR/23177-5280; arXiv:2107.08960
Journal ID: ISSN 2470-0010; PRVDAQ; 094516
- Grant/Contract Number:
- FG02-04ER41302; FG02-97ER41028; SC0011941; AC02-05CH11231; AC05-00OR22725; AC05-06OR23177; JLAB-THY-21-3469; C2-2020-FEMT-006; C2019-FEMT-002-05; Pra21-5389
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Quantum chromodynamics
Citation Formats
Khan, Tanjib, Sufian, Raza Sabbir, Karpie, Joseph, Monahan, Christopher J., Egerer, Colin, Joó, Bálint, Morris, Wayne, Orginos, Kostas, Radyushkin, Anatoly, Richards, David G., Romero, Eloy, Zafeiropoulos, Savvas, and On behalf of the HadStruc Collaboration. Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics. United States: N. p., 2021.
Web. doi:10.1103/PhysRevD.104.094516.
Khan, Tanjib, Sufian, Raza Sabbir, Karpie, Joseph, Monahan, Christopher J., Egerer, Colin, Joó, Bálint, Morris, Wayne, Orginos, Kostas, Radyushkin, Anatoly, Richards, David G., Romero, Eloy, Zafeiropoulos, Savvas, & On behalf of the HadStruc Collaboration. Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics. United States. https://doi.org/10.1103/PhysRevD.104.094516
Khan, Tanjib, Sufian, Raza Sabbir, Karpie, Joseph, Monahan, Christopher J., Egerer, Colin, Joó, Bálint, Morris, Wayne, Orginos, Kostas, Radyushkin, Anatoly, Richards, David G., Romero, Eloy, Zafeiropoulos, Savvas, and On behalf of the HadStruc Collaboration. Mon .
"Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics". United States. https://doi.org/10.1103/PhysRevD.104.094516.
@article{osti_1832916,
title = {Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics},
author = {Khan, Tanjib and Sufian, Raza Sabbir and Karpie, Joseph and Monahan, Christopher J. and Egerer, Colin and Joó, Bálint and Morris, Wayne and Orginos, Kostas and Radyushkin, Anatoly and Richards, David G. and Romero, Eloy and Zafeiropoulos, Savvas and On behalf of the HadStruc Collaboration},
abstractNote = {In this study, we present a determination of the unpolarized gluon Ioffe-time distribution in the nucleon from a first principles lattice quantum chromodynamics calculation. We carry out the lattice calculation on a $32^3\times 64$ ensemble with a pion mass of $358$ MeV and lattice spacing of $0.094$ fm. We construct the nucleon interpolating fields using the distillation technique, flow the gauge fields using the gradient flow, and solve the summed generalized eigenvalue problem to determine the glounic matrix elements. Combining these techniques allows us to provide a statistically well-controlled Ioffe-time distribution and unpolarized gluon PDF. We obtain the flow time independent reduced Ioffe-time pseudo-distribution, and calculate the light-cone Ioffe-time distribution and unpolarized gluon distribution function in the $\overline{\rm MS}$ scheme at $\mu = 2$ GeV, neglecting the mixing of the gluon operator with the quark singlet sector. Finally, we compare our results to phenomenological determinations.},
doi = {10.1103/PhysRevD.104.094516},
journal = {Physical Review D},
number = 9,
volume = 104,
place = {United States},
year = {Mon Nov 29 00:00:00 EST 2021},
month = {Mon Nov 29 00:00:00 EST 2021}
}
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