Proton Spin Content From Lattice QCD

Details Proton Spin Content From Lattice QCD Proton Spin Content From Lattice QCD

1999-08-30

arxiv.org/abs/hep-lat/9908052v1

Nucl.Phys.Proc.Suppl. 83 (2000) 247-249

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Matrix Elements), 3 pages, 3 figures

Scientific paper

We calculate the form factor of the quark energy momentum tensor and thereby extract the quark orbital angular momentum of the nucleon. The calculation is done on a quenched $16^3 \times 24$ lattice at $\beta = 6.0$ and with Wilson fermions at $\kappa$ = 0.148, 0.152, 0.154 and 0.155. We calculate the disconnected insertion stochastically which employs the $Z_2$ noise with an unbiased subtraction. This proves to be an efficient method of reduce the error from the noise. We find that the total quark contribution to the proton spin is $0.29 \pm 0.07$. From this we deduce that the quark orbital angular momentum is $0.17 \pm 0.08$ and predict the gluon spin to be $0.21 \pm 0.07$, i.e. about 40% of the proton spin is due to the glue.

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