The nucleon axial charge in full lattice QCD

Abstract

The nucleon axial charge is calculated as a function of the pion mass in full QCD. Using domain wall valence quarks and improved staggered sea quarks, we present the first calculation with pion masses as light as 354 MeV and volumes as large as (3.5 fm)^3. We show that finite volume effects are small for our volumes and that a constrained fit based on finite volume chiral perturbation theory agrees with experiment within 7% statistical errors.

4 pages, 2 figures, submitted to Physical Review Letters. Several typos corrected

References in corpus (20)

• A Method for Simulating Chiral Fermions on the Lattice
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Axial symmetries in lattice QCD with Kaplan fermions
• The QCD spectrum with three quark flavors
• High-Precision Lattice QCD Confronts Experiment
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Variants of fattening and flavor symmetry restoration
• Testing improved actions for dynamical Kogut-Susskind quarks
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Moments of Nucleon Light Cone Quark Distributions Calculated in Full Lattice QCD
• Chiral Perturbation Theory for Staggered Sea Quarks and Ginsparg-Wilson Valence Quarks
• Quark mass dependence of the nucleon axial-vector coupling constant
• Baryon Axial Charge in a Finite Volume
• Hadronic physics with domain-wall valence and improved staggered sea quarks
• Light and Strange Hadron Spectroscopy with Dynamical Wilson Fermions
• Twist-two matrix elements at finite and infinite volume
• Moments of Isovector Quark Distributions from Lattice QCD
• Delocalization of the axial charge in the chiral limit
• Axial and tensor charge of the nucleon with dynamical fermions
• Nucleon structure with domain wall fermions

Cited by in corpus (109)

• FLAG Review 2019
• FLAG Review 2021
• QCD and strongly coupled gauge theories: challenges and perspectives
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Chiral Perturbation Theory and Baryon Properties
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Parton distributions and lattice QCD calculations: a community white paper
• The Scalar Strange Content of the Nucleon from Lattice QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Octet baryon masses and sigma terms from an SU(3) chiral extrapolation
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• New physics searches in nuclear and neutron $\beta$ decay
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Nuclear Physics from Lattice QCD
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Exploring quark transverse momentum distributions with lattice QCD
• Hadron structure from lattice quantum chromodynamics
• The nucleon axial charge from lattice QCD with controlled errors
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Chiral perturbation theory
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Nucleon axial charge in 2+1 flavor dynamical lattice QCD with domain wall fermions
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
• Intrinsic quark transverse momentum in the nucleon from lattice QCD
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Varying the light quark mass: impact on the nuclear force and Big Bang nucleosynthesis
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• The nucleon to Delta electromagnetic transition form factors in lattice QCD
• FLAG Review 2024
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Axial Nucleon and Nucleon to Delta form fractors and the Goldberger-Treiman Relations from Lattice QCD
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Delta-baryon electromagnetic form factors in lattice QCD
• The nucleon axial-vector coupling beyond one loop
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Chiral extrapolation of nucleon magnetic form factors
• Variational Approach to the Calculation of gA
• Neutron electric polarizability from unquenched lattice QCD using the background field approach
• Gap Domain Wall Fermions
• Nucleon to Delta transition form factors with $N_F=2+1$ domain wall fermions
• High Statistics Analysis using Anisotropic Clover Lattices: (IV) Volume Dependence of Light Hadron Masses
• The axial N to Delta transition form factors from Lattice QCD
• Hadronic Interactions from Lattice QCD
• Electroproduction of Eta Mesons in the S11(1535) Resonance Region at High Momentum Transfer
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Universality of Mixed Action Extrapolation Formulae
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Gluon contributions to the pion mass and light cone momentum fraction
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• Dressed-quarks and the nucleon's axial charge
• An accurate calculation of the nucleon axial charge with lattice QCD
• Nucleon form factors from quenched lattice QCD with domain wall fermions
• Axial Charges of Octet Baryons in Two-flavor Lattice QCD
• Extrapolations of Lattice Meson Form Factors
• SU(2) Low-Energy Constants from Mixed-Action Lattice QCD
• Electric conductivity in finite-density SU(2) lattice gauge theory with dynamical fermions
• Evidence for non-analytic light quark mass dependence in the baryon spectrum
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Axial form factors of the octet baryons in a covariant quark model
• The ${\Delta }_{mix}$ parameter in the overlap on domain-wall mixed action
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• On the Quark Mass Dependence of Two Nucleon Observables
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Study of decuplet baryon resonances from lattice QCD
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Axial-vector form factors for the low lying octet baryons in the chiral quark constituent model
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• Form factors in lattice QCD
• Numerical Study of the Chiral Separation Effect in Two-Color QCD at Finite Density
• Chiral Symmetry Restoration from a Boundary
• Isovector axial-vector form factors of octet baryons in QCD
• Lattice status of gluonia/glueballs
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking
• Chiral extrapolation of nucleon magnetic moments at next-to-leading-order
• Chiral Corrections to Hyperon Axial Form Factors
• Axial charges of the nucleon and N* resonances
• Flavor symmetry breaking in lattice QCD with a mixed action
• Opportunities and open questions in modern $\beta$ decay
• Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT
• Holographic estimate of the meson cloud contribution to nucleon axial form factor
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Hadron Structure from Lattice QCD
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Hadronic structure from the lattice
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• The contributions of $qqqq\bar{q}$ components to the axial charges of proton and its resonances
• Mixed action with Borici-Creutz fermions on staggered sea
• Chiral extrapolation of nucleon axial charge $g_A$ in effective field theory
• Can the nucleon axial charge be O(Nc^0)?
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Topics in Effective Field Theory for Lattice QCD
• Understanding nucleon structure using lattice simulations
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Nucleon structure from 2+1-flavor dynamical DWF lattice QCD at nearly physical pion mass
• Quantum chromodynamics with advanced computing
• Calculation of the nucleon axial charge in lattice QCD
• Nuclei and chiral dynamics
• Nucleon Structure from Lattice QCD
• Strangeness contributions to nucleon form factors