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| Preprint/Report | PUBDB-2019-00786 |
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2019
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Please use a persistent id in citations: doi:10.3204/PUBDB-2019-00786
Report No.: ADP-18-32-T1080; DESY-18-220; Liverpool-LTH-1190; arXiv:1901.04792
Abstract: 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.
Keyword(s): quark: spin ; current: axial ; flavor: SU(3) ; correlation function ; nucleon quark ; stochastic ; estimator ; nucleon ; singlet ; lattice
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Journal Article/Report/Contribution to a conference proceedings
The strange quark contribution to the spin of the nucleon
The 36th Annual International Symposium on Lattice Field Theory, LATTICE2018, Michigan State UniversityMichigan State University, East Lansing, 22 Jul 2018 - 28 Jul 2018
Proceedings of Science / International School for Advanced Studies (LATTICE2018), 119 (2019) [10.22323/1.334.0119]
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