Justifying the Naive Partonic Sum Rule for Proton Spin

Abstract

We provide a theoretical basis for understanding the spin structure of the proton in terms of the spin and orbital angular momenta of free quarks and gluons in Feynman's parton picture. We show that each term in the Jaffe-Manohar spin sum rule can be related to the matrix element of a gauge-invariant, but frame-dependent operator through a matching formula in large-momentum effective field theory. We present all the matching conditions for the spin content at one-loop order in perturbation theory, which provide a basis to calculate parton orbital angular momentum in lattice QCD at leading logarithmic accuracy.

arXiv comment10 pages

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Cited by in corpus (24)

• Large-Momentum Effective Theory
• 50 Years of Quantum Chromodynamics
• The Spin Structure of the Nucleon
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• More On Large-Momentum Effective Theory Approach to Parton Physics
• On the renormalization of quasi parton distribution
• One-loop matching for transversity generalized parton distribution
• Glue spin and helicity in proton from lattice QCD
• Gluon quasidistribution function at one loop
• The light-front gauge-invariant energy-momentum tensor
• The Parton Orbital Angular Momentum: Status and Prospects
• Renormalization of Wilson-line operators in the presence of nonzero quark masses
• Machine-Learning Prediction for Quasi-PDF Matrix Elements
• Unravelling High-Energy Hadron Structures with Lattice QCD
• Spin Decomposition of Electron in QED
• From Ji to Jaffe-Manohar orbital angular momentum in Lattice QCD using a direct derivative method
• Quasi Distribution Amplitude of Heavy Quarkonia
• Orbital Angular Momentum and Generalized Transverse Momentum Distribution
• Measurements of double-helicity asymmetries in inclusive $J/\psi$ production in longitudinally polarized $p+p$ collisions at $\sqrt{s}=510$ GeV
• Proton spin after 30 years: what we know and what we don't?
• Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem
• Quark and gluon orbital angular momentum: Where are we?
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The gauge-invariant canonical energy-momentum tensor