New Developments in Lattice QCD: Calculation of Flavor Singlet Nucleon Matrix Elements and Hadron Scattering Lengths

Physics – High Energy Physics – High Energy Physics - Lattice

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Plenary talk given at the International Symposium on Lattice Field Theory {\it LATTICE 95}, Melbourne, Australia, 11-15 July,

Scientific paper

10.1016/0920-5632(96)00041-2

Recent developments in lattice QCD calculation of flavor singlet nucleon matrix elements are reviewed. Substantial sea quark contributions are found in the $\pi$-$N\ \sigma$ term and the quark spin content of the nucleon such that the total magnitude including valence contributions is in reasonable agreement with experiments. Some problems with flavor non-singlet nucleon matrix elements are pointed out. Recent work on lattice QCD calculation of hadron scattering length is also discussed.

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