Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume

Abstract

We present data for the axial coupling constant g_A of the nucleon obtained in lattice QCD with two degenerate flavours of dynamical non-perturbatively improved Wilson quarks. The renormalisation is also performed non-perturbatively. For the analysis we give a chiral extrapolation formula for g_A based on the small scale expansion scheme of chiral effective field theory for two degenerate quark flavours. Applying this formalism in a finite volume we derive a formula that allows us to extrapolate our data simultaneously to the infinite volume and to the chiral limit. Using the additional lattice data in finite volume we are able to determine the axial coupling of the nucleon in the chiral limit without imposing the known value at the physical point.

21 pages, 7 figures; v2: some clarifications added, to appear in Phys. Rev. D

References in corpus (4)

• Nucleon mass: from lattice QCD to the chiral limit
• Cutoff schemes in chiral perturbation theory and the quark mass expansion of the nucleon mass
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Chiral extrapolations

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