Proton Spin Structure from Lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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10 pages as latex dvi-file, two figures as ps-file, uuencoded compressed tar file

Scientific paper

10.1103/PhysRevLett.75.2092

A lattice QCD calculation of the proton matrix element of the flavor singlet axial-vector current is reported. Both the connected and disconnected contributions are calculated, for the latter employing the variant method of wall source without gauge fixing. From simulations in quenched QCD with the Wilson quark action on a $16^3\times 20$ lattice at $\beta=5.7$ (the lattice spacing $a\approx 0.14$fm), we find $\Delta\Sigma=\Delta u+\Delta d+\Delta s=+0.638(54)-0.347(46)-0.109(30) = +0.18(10)$ with the disconnected contribution to $\Delta u$ and $\Delta d$ equal to $-0.119(44)$, which is reasonably consistent with the experiment.

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