Scalar and axial vector matrix elements of proton in quenched QCD: Calculation of both connected and disconnected contributions

Details Scalar and axial vector matrix elements of proton in quenched QCD: Calculation of both connected and disconnected contributions Scalar and axial vector matrix elements of proton in quenched QCD: Calculation of both connected and disconnected contributions

1994-12-05

arxiv.org/abs/hep-lat/9412025v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages. Latex source file with two figures as epsf-file. Style file is appended at the end. Contribution to Lattice 94

Scientific paper

10.1016/0920-5632(95)00243-3

$\pi$-$N$ $\sigma$ term and proton axial vector matrix elements are calculated including disconnected contributions with a variant wall source method using the Wilson quark action at $\beta=5.7$ in quenched QCD. For the $\sigma$ term, we find $\sigma_{disc}/\sigma_{conn}=2.35(46)$ and $\sigma=44(6)$MeV--60(9)MeV. The fraction of proton spin carried by quarks is $\Delta\Sigma=\Delta{u}+\Delta{d}+\Delta{s}=+0.638(54)-0.347(46)-0.109(30)= +0.18(10)$.

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