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Title: Lattice calculation of nucleon isovector axial charge with improved currents

Abstract

We employ dimension-4 operators to improve the local vector and axial-vector currents and calculate the nucleon isovector axial coupling $g$ $${^3}_{A}$$ with overlap valence on 2 + 1-flavor domain wall fermion (DWF) sea. Using the equality of $g$ $${^3}_{A}$$ from the spatial and temporal components of the axial-vector current as a normalization condition, we find that $g$ $${^3}_{A}$$ is increased by a few percent towards the experimental value. Here, the excited-state contamination has been taken into account with three time separations between the source and sink. The improved axial charges $g$ $${^3}_{A}$$ (24I) = 1.22 (4) (3) and $g$ $${^3}_{A}$$ (32I) = 1.21 (3)(3) are obtained on a 243 × 64 lattice at pion mass of 330 MeV and a 323 × 64 lattice at pion mass 300 MeV and are increased by 3.4% and 1.7% from their unimproved values, respectively. We have also used clover fermions on the same DWF configurations and find the same behavior for the local axial charge as that with overlap fermions.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [1]; ORCiD logo [1]
  1. Univ. of Kentucky, Lexington, KY (United States)
  2. The George Washington Univ., Washingon, DC (United States)
Publication Date:
Research Org.:
Univ. of Kentucky, Lexington, KY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
Contributing Org.:
χQCD Collaboration
OSTI Identifier:
1595974
Alternate Identifier(s):
OSTI ID: 1376953
Grant/Contract Number:  
SC0013065; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD

Citation Formats

Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, and Sufian, Raza Sabbir. Lattice calculation of nucleon isovector axial charge with improved currents. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.96.034519.
Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, & Sufian, Raza Sabbir. Lattice calculation of nucleon isovector axial charge with improved currents. United States. doi:https://doi.org/10.1103/PhysRevD.96.034519
Liang, Jian, Yang, Yi-Bo, Liu, Keh-Fei, Alexandru, Andrei, Draper, Terrence, and Sufian, Raza Sabbir. Thu . "Lattice calculation of nucleon isovector axial charge with improved currents". United States. doi:https://doi.org/10.1103/PhysRevD.96.034519. https://www.osti.gov/servlets/purl/1595974.
@article{osti_1595974,
title = {Lattice calculation of nucleon isovector axial charge with improved currents},
author = {Liang, Jian and Yang, Yi-Bo and Liu, Keh-Fei and Alexandru, Andrei and Draper, Terrence and Sufian, Raza Sabbir},
abstractNote = {We employ dimension-4 operators to improve the local vector and axial-vector currents and calculate the nucleon isovector axial coupling $g$ ${^3}_{A}$ with overlap valence on 2 + 1-flavor domain wall fermion (DWF) sea. Using the equality of $g$ ${^3}_{A}$ from the spatial and temporal components of the axial-vector current as a normalization condition, we find that $g$ ${^3}_{A}$ is increased by a few percent towards the experimental value. Here, the excited-state contamination has been taken into account with three time separations between the source and sink. The improved axial charges $g$ ${^3}_{A}$ (24I) = 1.22 (4) (3) and $g$ ${^3}_{A}$ (32I) = 1.21 (3)(3) are obtained on a 243 × 64 lattice at pion mass of 330 MeV and a 323 × 64 lattice at pion mass 300 MeV and are increased by 3.4% and 1.7% from their unimproved values, respectively. We have also used clover fermions on the same DWF configurations and find the same behavior for the local axial charge as that with overlap fermions.},
doi = {10.1103/PhysRevD.96.034519},
journal = {Physical Review D},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

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Works referenced in this record:

Nucleon form factors and moments of generalized parton distributions using N f = 2 + 1 + 1 twisted mass fermions
journal, July 2013


The improvement of hadronic matrix elements in lattice QCD
journal, March 1991


Chiral symmetry and O(a) improvement in lattice QCD
journal, October 1996


Quark and Glue Components of the Proton Spin from Lattice Calculation
journal, January 2016


Strange quark contributions to nucleon mass and spin from lattice QCD
journal, December 2012


Extraction of spin-dependent parton densities and their uncertainties
journal, August 2009


Heavy and Light Quarks with Lattice Chiral Fermions
journal, December 2005


Continuum limit physics from 2 + 1 flavor domain wall QCD
journal, April 2011


Ginsparg-Wilson fermion propagators and chiral condensate
journal, June 1999


Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015


Strangeness Contribution to the Proton Spin from Lattice QCD
journal, May 2012


Precision measurement of the neutron β -decay asymmetry
journal, March 2013


The spin structure function g 1 p of the proton and a test of the Bjorken sum rule
journal, February 2016


Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD
journal, May 2014


Review of Particle Physics
journal, August 2014


Nucleon isovector couplings from N f = 2 lattice QCD
journal, March 2015


Axial, scalar, and tensor charges of the nucleon from 2 + 1 + 1 -flavor Lattice QCD
journal, September 2016


Testing the fixed-point QCD action and the construction of chiral currents
journal, November 2002


Perturbative renormalization and mixing of quark and glue energy-momentum tensors on the lattice
journal, April 2017


Overlap valence on 2 + 1 flavor domain wall fermion configurations with deflation and low-mode substitution
journal, December 2010


A study of “improvement” in lattice QCD
journal, July 1991


Variational approach to the calculation of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msub></mml:math>
journal, June 2013


Nucleon axial charge and pion decay constant from two-flavor lattice QCD
journal, May 2014


Meson mass decomposition from lattice QCD
journal, April 2015


Erratum: Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [Phys. Rev. D 92 , 114513 (2015)]
journal, February 2016


Nucleon Structure on a Lattice at the Physical Point
journal, September 2015


Solutions of the Ginsparg-Wilson relation
journal, February 1999


Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment
journal, February 2014

  • Burger, Florian; Feng, Xu; Hotzel, Grit
  • Journal of High Energy Physics, Vol. 2014, Issue 2
  • DOI: 10.1007/JHEP02(2014)099

XSEDE: Accelerating Scientific Discovery
journal, September 2014

  • Towns, John; Cockerill, Timothy; Dahan, Maytal
  • Computing in Science & Engineering, Vol. 16, Issue 5
  • DOI: 10.1109/MCSE.2014.80

Disconnected quark loop contributions to nucleon observables in lattice QCD
journal, February 2014


Determination of the Weak Axial Vector Coupling λ = g A / g V from a Measurement of the β -Asymmetry Parameter A in Neutron Beta Decay
journal, April 2013


Nucleon strangeness form factors from N f = 2 + 1 clover fermion lattice QCD
journal, November 2009


Improved bilinears in lattice QCD with nondegenerate quarks
journal, February 2006


Exploring strange nucleon form factors on the lattice
journal, March 2012


Controlling excited-state contamination in nucleon matrix elements
journal, June 2016


A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014


Nonperturbative renormalization of overlap quark bilinears on 2 + 1 -flavor domain wall fermion configurations
journal, August 2014


Domain wall QCD with physical quark masses
journal, April 2016


Stochastic method with low mode substitution for nucleon isovector matrix elements
journal, February 2016


    Works referencing / citing this record:

    Nucleon axial form factor from generalized parton distributions
    journal, July 2019


    The spin structure of the nucleon
    journal, June 2019

    • Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
    • Reports on Progress in Physics, Vol. 82, Issue 7
    • DOI: 10.1088/1361-6633/ab0b8f

    Sea quarks contribution to the nucleon magnetic moment and charge radius at the physical point
    journal, December 2017


    Proton Mass Decomposition from the QCD Energy Momentum Tensor
    journal, November 2018


    The spin structure of the nucleon
    journal, June 2019

    • Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
    • Reports on Progress in Physics, Vol. 82, Issue 7
    • DOI: 10.1088/1361-6633/ab0b8f

    Isovector axial form factors of the nucleon in two-flavor lattice QCD
    journal, January 2019

    • Capitani, S.; Della Morte, M.; Djukanovic, D.
    • International Journal of Modern Physics A, Vol. 34, Issue 02
    • DOI: 10.1142/s0217751x1950009x

    Nucleon axial radius and muonic hydrogen—a new analysis and review
    journal, July 2018

    • Hill, Richard J.; Kammel, Peter; Marciano, William J.
    • Reports on Progress in Physics, Vol. 81, Issue 9
    • DOI: 10.1088/1361-6633/aac190