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Instanton effects in twist-3 generalized parton distributions

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arxiv 2310.16890 v1 pith:SB4DLVTA submitted 2023-10-25 hep-ph

classification hep-ph
keywords operatorseffectiveinstantonquarkcorrelationsspin-orbittermstwist-3
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The instanton vacuum picture is used to study hadronic matrix elements of the twist-3 (dimension-4, spin-1) QCD operators measuring the quark spin density and spin-orbit correlations. The QCD operators are converted to effective operators in the low-energy effective theory emerging after chiral symmetry breaking, in a systematic approach based on the diluteness of the instanton medium and the $1/N_c$ expansion. The instanton fields induce spin-flavor-dependent "potential" terms in the effective operators, complementing the "kinetic" terms from the quark field momenta. As a result, the effective operators obey the same equation-of-motion relations as the original QCD operators. The spin-orbit correlations are qualitatively different from naive quark model expectations.

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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. Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.

  2. Three-dimensional imaging of hadrons with hard exclusive reactions: advances in experiment, theory, phenomenology, and lattice QCD

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    A community white paper reviewing GPD-based 3D imaging of hadrons — experiment, theory, phenomenology, lattice QCD — and the roadmap toward precision tomography at JLab, COMPASS, J-PARC, and future electron-ion colliders.

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