Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-01-13
Phys.Rev.Lett. 75 (1995) 2092-2095
Physics
High Energy Physics
High Energy Physics - Lattice
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.
Fukugita Masaaka
Kuramashi Yoshinobu
Okawa Mario
Ukawa Akira
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