Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-03-30
Phys.Rev.D74:094508,2006
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 7 figures; v2: some clarifications added, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.74.094508
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.
Göckeler Meinulf
Hägler Ph.
Hemmert Thomas R.
Horsley Roger
Khan Ashfaq A.
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