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Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
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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.
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Decomposition of the axial-vector current in a finite box
In a finite box the axial-vector current matrix element between two nucleons requires a larger set of form factors than the usual two employed in infinite volume; the complete one-loop expressions are derived in SU(2)...
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