Quark mass dependence of the nucleon axial-vector coupling constant

Details Quark mass dependence of the nucleon axial-vector coupling constant Quark mass dependence of the nucleon axial-vector coupling constant

2003-03-05

arxiv.org/abs/hep-lat/0303002v2

Phys.Rev.D68:075009,2003

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, LaTeX, 7 figures

Scientific paper

10.1103/PhysRevD.68.075009

We study the quark mass expansion of the axial-vector coupling constant g_A of the nucleon. The aim is to explore the feasibility of chiral effective field theory methods for extrapolation of lattice QCD results - so far determined at relatively large quark masses corresponding to pion masses larger than 0.6 GeV - down to the physical value of the pion mass. We compare two versions of non-relativistic chiral effective field theory: One scheme restricted to pion and nucleon degrees of freedom only, and an alternative approach which incorporates explicit Delta(1230) resonance degrees of freedom. It turns out that, in order to approach the physical value of g_A in a leading-one-loop calculation, the inclusion of the explicit Delta(1230) degrees of freedom is crucial. With information on important higher order couplings constrained from analyses of inelastic pion production processes, a chiral extrapolation function for g_A is obtained, which works well from the chiral limit across the physical point into the region of present lattice data. The resulting enhancement of our extrapolation function near the physical pion mass is found to arise from an interplay between long- and short- distance physics.

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