Orbital Angular Momentum and Generalized Transverse Momentum Distribution

Abstract

We show that, when boosted to the infinite momentum frame, the quark and gluon orbital angular momentum operators defined in the nucleon spin sum rule of X. S. Chen et al. are the same as those derived from generalized transverse momentum distributions. This completes the connection between the infinite momentum limit of each term in that sum rule and experimentally measurable observables. We also show that these orbital angular momentum operators can be defined locally, and discuss the strategies of calculating them in lattice QCD.

8 pages

References in corpus (12)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• Evidence for polarization of gluons in the proton
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
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• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• The light-front gauge-invariant energy-momentum tensor
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Cited by in corpus (9)

• Large-Momentum Effective Theory
• The Spin Structure of the Nucleon
• Glue spin and helicity in proton from lattice QCD
• Probing the Weizsäcker-Williams gluon Wigner distribution in pp collisions
• The Parton Orbital Angular Momentum: Status and Prospects
• Quark orbital dynamics in the proton from Lattice QCD -- from Ji to Jaffe-Manohar orbital angular momentum
• Proton spin after 30 years: what we know and what we don't?
• Quark and gluon orbital angular momentum: Where are we?
• A Lattice Story of Proton Spin