Chiral extrapolation of g_A with explicit Delta(1232) degrees of freedom

Abstract

An updated and extended analysis of the quark mass dependence of the nucleon's axial vector coupling constant g_A is presented in comparison with state-of-the-art lattice QCD results. Special emphasis is placed on the role of the Delta(1232) isobar. It is pointed out that standard chiral perturbation theory of the pion-nucleon system at order p^4 fails to provide an interpolation between the lattice data and the physical point. In constrast, a version of chiral effective field theory with explicit inclusion of the Delta(1232) proves to be successful. Detailed error analysis and convergence tests are performed. Integrating out the Delta(1232) as an explicit degree of freedom introduces uncontrolled errors for pion masses m_pi >~ 300 MeV.

arXiv comment25 pages, 12 figures, 2 tables; v2: minor changes

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Cited by in corpus (32)

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• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• In-medium chiral condensate beyond linear density approximation
• Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Parton momentum and helicity distributions in the nucleon
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Baryon Masses and Axial Couplings in the Combined 1/Nc and Chiral Expansions
• Axial form factors of the octet baryons in a covariant quark model
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• ${\Sigma }_{c}N$ interaction in chiral perturbation theory
• Determination of the $\Delta (1232)$ axial and pseudoscalar form factors from lattice QCD
• Chiral symmetry and the axial nucleon to Delta(1232) transition form factors
• On the axial-vector form factor of the nucleon and chiral symmetry
• Chiral Corrections to Hyperon Axial Form Factors
• Calculation of the axial charge in the epsilon and epsilon' regimes of HBChPT
• Chiral extrapolation and finite-volume dependence of the hyperon vector couplings
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Finite volume corrections to the electromagnetic current of the nucleon
• Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Light-quark mass dependence of the nucleon axial charge and pion-nucleon scattering phenomenology
• Dependence of nucleon properties on pseudoscalar meson masses
• Chiral corrections to the vector and axial couplings of quarks and baryons
• Axial transition form factors of octet baryons in the perturbative chiral quark model
• A dispersion relation for the pion-mass dependence of hadron properties
• Pion Configurations in the Presence of Baryons
• The axial-vector form factor of the nucleon in a finite box