Wilson lines and orbital angular momentum

Abstract

We present an explicit realization of the Chen et al. approach to the proton spin decomposition in terms of Wilson lines, generalizing the light-front gauge-invariant extensions discussed recently by Hatta. Particular attention is drawn to the residual gauge freedom by further separating the pure-gauge term into contour and residual terms. We show that the kinetic orbital angular momentum operator can be expressed in terms of the Wigner operator only when the momentum variable is integrated over. Finally, we confirm from twist-2 arguments that the advanced, retarded and antisymmetric light-front canonical orbital angular momenta are the same.

8 pages, revised version to appear in PLB

References in corpus (9)

• Generalized parton correlation functions for a spin-1/2 hadron
• Quark Wigner Distributions and Orbital Angular Momentum
• Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
• Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
• Twist analysis of the nucleon spin in QCD
• Gauge- and frame-independent decomposition of nucleon spin
• Probing Parton Orbital Angular Momentum in Longitudinally Polarized Nucleon
• Generalized universality of higher transverse moments of quark transverse momentum dependent correlators
• Art of spin decomposition

Cited by in corpus (43)

• The angular momentum controversy: What's it all about and does it matter?
• Revisiting the mechanical properties of the nucleon
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• Twist-2 Generalized TMDs and the Spin/Orbital Structure of the Nucleon
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Spin-orbit correlations in the nucleon
• The light-front gauge-invariant energy-momentum tensor
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• The Parton Orbital Angular Momentum: Status and Prospects
• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
• The relativistic center of mass in field theory with spin
• Parton Transverse Momentum and Orbital Angular Momentum Distributions
• Multipole decomposition of the nucleon transverse phase space
• Lorentz Invariance and QCD Equation of Motion Relations for Generalized Parton Distributions and the Dynamical Origin of Proton Orbital Angular Momentum
• Gauge-covariant canonical formalism revisited with application to the proton spin decomposition
• Nucleon spin decomposition and differential geometry
• Gauge symmetry and background independence: Should the proton spin decomposition be path independent?
• Gravitational transverse-momentum distributions
• Gauge Invariant Descriptions of Gluon Polarizations
• Unravelling the physical meaning of the Jaffe-Manohar decomposition of the nucleon spin
• Relativistic decomposition of the orbital and the spin angular momentum in chiral physics and Feynman's angular momentum paradox
• On the two remaning issues in the gauge-invariant decomposition problem of the nucleon spin
• Are there infinitely many decompositions of the nucleon spin ?
• Quark Orbital Angular Momentum in the MIT Bag Model
• Quark angular momentum in a spectator model
• Gauge Invariant Descriptions of Gluon Polarizations Revisited
• On the decomposition theorem for gluons
• Potential linear and angular momentum in the scalar diquark model
• The proton spin decomposition : path dependence and gauge symmetry
• Quark and gluon orbital angular momentum: Where are we?
• Quark spin-orbit correlations
• Energy, angular momentum and pressure force distributions inside nucleons
• Gauge invariant spectral analysis of quark hadronization dynamics
• The gauge-invariant canonical energy-momentum tensor
• Quark Orbital Angular Momentum and Final State Interactions
• Are there infinitely many decompositions of the nucleon spin ?
• Nucleon spin decomposition at twist three
• The partonic structure of the nucleon from generalized transverse momentum-dependent parton distributions
• Spin structure of the nucleon on the light front
• The nucleon spin decomposition: news and experimental implications
• Role of higher twist distributions in the tomography of proton
• Accessing the quark orbital angular momentum with Wigner distributions
• Mechanical properties of proton in the momentum space