Baryon Axial Charge in a Finite Volume

Abstract

We compute finite-volume corrections to nucleon matrix elements of the axial-vector current. We show that knowledge of this finite-volume dependence --as well as that of the nucleon mass-- obtained using lattice QCD will allow a clean determination of the chiral-limit values of the nucleon and Delta-resonance axial-vector couplings.

11 pages, 8 figures

References in corpus (11)

• Two Nucleons on a Lattice
• The pion mass in finite volume
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Nucleon axial charge from quenched lattice QCD with domain wall fermions
• Heavy meson chiral perturbation theory in finite volume
• Actions for dynamical fermion simulations: are we ready to go?
• Impact of the finite volume effects on the chiral behavior of fK and BK
• In Search of the Chiral Regime
• An asymptotic formula for the pion decay constant in a large volume
• Chiral Perturbation Theory and Finite Size Effects on the Nucleon Mass in unquenched QCD

Cited by in corpus (64)

• FLAG Review 2019
• FLAG Review 2021
• Chiral Perturbation Theory and Baryon Properties
• Nucleon Generalized Parton Distributions from Full Lattice QCD
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Finite volume effects for meson masses and decay constants
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• The nucleon axial charge in full lattice QCD
• 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 isovector couplings from $N_f=2$ lattice QCD
• 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
• Nucleon axial structure from lattice QCD
• FLAG Review 2024
• Nucleon isovector charges and twist-2 matrix elements with $N_f=2+1$ dynamical Wilson quarks
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• The nucleon axial-vector coupling beyond one loop
• Twist-two matrix elements at finite and infinite volume
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• Parity Doubling Among the Baryons
• Finite-volume effects due to spatially non-local operators
• Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom
• The masses and axial currents of the doubly charmed baryons
• Universality of Mixed Action Extrapolation Formulae
• Masses and sigma terms of doubly charmed baryons up to $\mathcal{O}(p^4)$ in manifestly Lorentz-invariant baryon chiral perturbation theory
• Finite volume effects for the pion mass at two loops
• Flavour singlet physics in lattice QCD with background fields
• An accurate calculation of the nucleon axial charge with lattice QCD
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• A nucleon in a tiny box
• Extrapolation Formulas for Neutron EDM Calculations in Lattice QCD
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• Finite volume effects in chiral perturbation theory
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Chiral Corrections to Hyperon Axial Form Factors
• Quark and pion effective couplings from polarization effects
• Exponential reduction of finite volume effects with twisted boundary conditions
• Constraining beyond the Standard Model nucleon isovector charges
• Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT
• Finite-volume corrections to charge radii
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Chiral extrapolations
• Chiral expansion of moments of quark distributions
• Finite Volume Dependence of Hadron Properties and Lattice QCD
• The Roper Resonance in a finite volume
• Heavy Meson Masses in the ε-Regime of HMχPT
• What the lattice can tell us about nucleon structure
• The isoscalar octet axial form factor of the nucleon from lattice QCD
• The axial-vector form factor of the nucleon in a finite box