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The strange quark contribution to the spin of the nucleon

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arxiv 1901.04792 v1 pith:XTI5ZQCZ submitted 2019-01-15 hep-lat

classification hep-lat
keywords quarkcontributionnucleonoperatorparticularspinstrangealternative
verification ladder T0 review T1 audit T2 compute T3 formal
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Quark line disconnected matrix elements of an operator, such as the axial current, are difficult to compute on the lattice. The standard method uses a stochastic estimator of the operator, which is generally very noisy. We discuss and develop further our alternative approach using the Feynman-Hellmann theorem which involves only evaluating two-point correlation functions. This is applied to computing the contribution of the quark spin to the nucleon and in particular for the strange quark. In this process we also pay particular attention to the development of an SU(3) flavour breaking expansion for singlet operators.

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