The Parton Orbital Angular Momentum: Status and Prospects
Keh-Fei Liu, Cedric Lorce

TL;DR
This paper reviews recent theoretical developments in understanding the orbital angular momentum of quarks and gluons, discusses their relation to parton distributions, and explores lattice calculation strategies for these quantities.
Contribution
It provides a comprehensive review of the status and challenges in calculating parton orbital angular momentum, highlighting new lattice approaches.
Findings
Progress in formulating quark and gluon OAM
Identification of strategies for lattice calculations
Discussion of open questions in the field
Abstract
Theoretical progress on the formulation and classification of the quark and gluon orbital angular momenta (OAM) is reviewed. Their relation to parton distributions and open questions and puzzles are discussed. We give a status report on the lattice calculation of the parton kinetic and canonical OAM and point out several strategies to calculate the quark and gluon canonical OAM on the lattice.
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