The extraction of the axial coupling from finite volume systems: The long and short of it

Abstract

Due to a pion-pole contribution, the nucleon axial current matrix elements can be visualized in position space as becoming delocalized as the chiral limit is approached, with one-third of the current at distance of order the inverse pion mass. However, this delocalization effect will not cause calculations of the axial coupling in a finite system with standard boundary conditions (periodic for boson fields, antiperiodic for fermions) to have large finite volume effects. This is seen by calculating axial coupling using a nonstandard current with axial quantum numbers. The matrix elements of this new current lacks a pion pole and is not delocalized; however, its zero-momentum matrix element is identical to that of the standard axial current both for infinite and finite volumes.

6 pages

References in corpus (5)

• Towards a lattice calculation of $\Delta q$ and $\delta q$
• Delocalization of the axial charge in the chiral limit
• Domain wall fermion calculation of nucleon g_A/g_V
• Determining gA using non-perturbatively O(a) improved Wilson fermions
• Nucleon axial charge from quenched lattice QCD with domain wall fermions and DBW2 gauge action

Cited by in corpus (12)

• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Baryon Axial Charge in a Finite Volume
• Nucleon axial charge from quenched lattice QCD with domain wall fermions
• An accurate calculation of the nucleon axial charge with lattice QCD
• Time Dependence of Nucleon Correlation Functions in Chiral Perturbation Theory
• Chiral Corrections to Nucleon Two- and Three-Point Correlation Functions
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Calculation of Moments of Structure Functions
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Finite Volume Dependence of Hadron Properties and Lattice QCD
• Nucleon axial charge from quenched lattice QCD with domain wall fermions and DBW2 gauge action
• Axial Vector Current and Coupling of the Quark in the Instanton Model