The Parton Orbital Angular Momentum: Status and Prospects

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.

16 pages, contribution to the EPJA speical issue on "3D Structure of the Nucleon"

References in corpus (35)

• Transverse and longitudinal angular momenta of light
• A first unbiased global determination of polarized PDFs and their uncertainties
• Evidence for polarization of gluons in the proton
• Relations between generalized and transverse momentum dependent parton distributions
• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
• Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
• Conservation of the spin and orbital angular momenta in electromagnetism
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The transverse momentum dependent distribution functions in the bag model
• Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
• Do gluons carry half of the nucleon momentum?
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Gauge- and frame-independent decomposition of nucleon spin
• Moments of nucleon generalized parton distributions from lattice QCD
• Lattice QCD study of the Boer-Mulders effect in a pion
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• The light-front gauge-invariant energy-momentum tensor
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• Quark Wigner distributions in a light-cone spectator model
• The Parton Orbital Angular Momentum: Status and Prospects
• Justifying the Naive Partonic Sum Rule for Proton Spin
• Generalized Parton Distributions from Hadronic Observables: Zero Skewness
• Use of the Husimi distribution for nucleon tomography
• Orbital Angular Momentum and Generalized Transverse Momentum Distribution
• Nucleon spin decomposition and differential geometry
• Angular momentum decomposition from a QED example
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
• Boundary terms in quantum field theory and the spin structure of QCD
• On the two remaning issues in the gauge-invariant decomposition problem of the nucleon spin
• Quark angular momentum in a spectator model
• Quark and Glue Components of the Proton Spin from Lattice Calculation
• Quark Orbital Angular Momentum in the MIT Bag Model

Cited by in corpus (32)

• Theory and applications of free-electron vortex states
• Forces inside hadrons: pressure, surface tension, mechanical radius, and all that
• GPD phenomenology and DVCS fitting - Entering the high-precision era
• The Spin Structure of the Nucleon
• Introduction to GPDs and TMDs
• Spatial distribution of angular momentum inside the nucleon
• An Overview of Transverse Momentum Dependent Factorization and Evolution
• The energy-momentum tensor of spin-1 hadrons: formalism
• The Parton Orbital Angular Momentum: Status and Prospects
• The relativistic center of mass in field theory with spin
• Wigner distributions and orbital angular momentum of a proton
• Quark orbital dynamics in the proton from Lattice QCD -- from Ji to Jaffe-Manohar orbital angular momentum
• The issue of gauge choice in the Landau problem and the physics of canonical and mechanical orbital angular momenta
• Angular momentum and generalized parton distributions for the proton with basis light-front quantization
• Where do we stand with a 3-D picture of the proton?
• Gluon distributions in the proton in a light-front spectator model
• Twist-3 GPDs in Deeply-Virtual Compton Scattering
• Gravitational form factors and angular momentum densities in light-front quark-diquark model
• Relativistic spin sum rules and the role of the pivot
• Monopole and quadrupole contributions to the angular momentum density
• Quark transverse spin-orbit correlations
• Polarized gluon distribution in the proton from holographic light-front QCD
• Unravelling the physical meaning of the Jaffe-Manohar decomposition of the nucleon spin
• Baryons and Chiral Symmetry
• The axial charges of proton within an extended chiral constituent quark model
• Investigations on the flavor-dependent axial charges of the octet baryons
• Orbital angular momentum of the proton and intrinsic five-quark Fock states
• Accessing Compton Form Factors at the Electron Ion Collider in China: An Impact study on $\text{Im}\mathcal{E}$
• Energy, angular momentum and pressure force distributions inside nucleons
• Quark and gluon orbital angular momentum: Where are we?
• Single-Transverse-Spin-Asymmetry studies with a fixed-target experiment using the LHC beams (AFTER@LHC)
• The quark orbital angular momentum of ground state octet baryons