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Status on Lattice Calculations of the Proton Spin Decomposition

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arxiv 2112.08416 v2 pith:TCWXRXKJ submitted 2021-12-15 hep-lat hep-ph

classification hep-lathep-ph
keywords spinquarkangularlatticeprotoncalculationscontributionglue
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Lattice calculations of the proton spin components is reviewed. The lattice results of the quark spin from the axial-vector current matrix element at $\sim 0.3- 0.4$ is smaller than those from the constituent quark models. This is largely due to the fact that the vacuum polarization contribution from the disconnected insertion is negative. Its connection with the anomalous Ward identity is clarified and verified numerically. This resolves the contentious issue in the `proton spin crisis'. The glue spin and angular momentum are found to be large and there is notable contribution from the quark orbital angular momentum. Renormalization, mixing and normalization of the quark and glue angular momenta are discussed. With sufficient precision, they can be compared with more precise experimental measurements when the electron-ion collider facility is available.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.

  2. Hadrons in group expansion

    hep-ph 2025-06 conditional novelty 4.0 of 10

    Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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