Axial Vector Current and Coupling of the Quark in the Instanton Model

Abstract

We compute the axial vector current, form factor, and coupling for quarks in the instanton liquid model with two light flavors. Non-local current corrections are derived, as required by the effective 't Hooft interaction. We obtain a pion-mediated axial form factor and an axial coupling which, when simply applied in the non-relativistic limit for constituent quarks, matches the experimental value to within a few percent, both in and out of the chiral limit.

8 pages Revtex4, 3 PostScript figures, sign error corrected (results unchanged)

References in corpus (4)

• The Nonperturbative Color Meissner Effect in a Two-Flavor Color Superconductor
• Delocalization of the axial charge in the chiral limit
• The extraction of the axial coupling from finite volume systems: The long and short of it
• Domain wall fermion calculation of nucleon g_A/g_V

Cited by in corpus (1)

• Axial Vector Coupling and Chiral Anomaly in the Spectral Quark Model