Flavor Singlet Axial Vector Coupling of the Proton with Dynamical Wilson Fermions

Details Flavor Singlet Axial Vector Coupling of the Proton with Dynamical Wilson Fermions Flavor Singlet Axial Vector Coupling of the Proton with Dynamical Wilson Fermions

1999-01-12

arxiv.org/abs/hep-lat/9901009v2

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 5 eps figures, minor changes to text and citations

Scientific paper

10.1103/PhysRevD.59.114502

We present the results of a full QCD lattice calculation of the flavor singlet axial vector coupling $G_A^1$ of the proton. The simulation has been carried out on a $16^3\times 32$ lattice at $\beta=5.6$ with $n_f=2$ dynamical Wilson fermions. It turns out that the statistical quality of the connected contribution to $G_A^1$ is excellent, whereas the disconnected part is accessible but suffers from large statistical fluctuations. Using a 1st order tadpole improved renormalization constant $Z_A$, we estimate $G_A^1 = 0.20(12)$.

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