Evolution Equations for Higher Moments of Angular Momentum Distributions

Abstract

Based on a sumrule for the nucleon spin we expand quark and gluon orbital angular momentum operators and derive an evolution matrix for higher moments of the corresponding distributions. In combination with the spin-dependent DGLAP-matrix we find a complete set of spin and orbital angular momentum evolution equations.

10 pages in LaTeX with 1 eps-figure; missing Ψin eq.(10) added; p.7/8: short paragraph dropped, one definition added

References in corpus (2)

• Determination of the Bjorken Sum and Strong Coupling from Polarized Structure Functions
• Next-to-Leading Order QCD Analysis of Polarized Deep Inelastic Scattering Data

Cited by in corpus (37)

• Light-Cone Representation of the Spin and Orbital Angular Momentum of Relativistic Composite Systems
• The Spin Structure of the Nucleon
• Proton Spin Structure from Measurable Parton Distributions
• Gluon orbital angular momentum at small-$x$
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• On Orbital Angular Momentum in Deep Inelastic Scattering
• Precision Studies of QCD in the Low Energy Domain of the EIC
• Quark Orbital-Angular-Momentum Distribution in the Nucleon
• The generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
• Probing Parton Orbital Angular Momentum in Longitudinally Polarized Nucleon
• Proton Spin Structure at Small-$x$
• Connection between the Sivers function and the anomalous magnetic moment
• The Parton Orbital Angular Momentum: Status and Prospects
• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
• Helicity at Small $x$: Oscillations Generated by Bringing Back the Quarks
• Orbital Angular Momentum at Small $x$
• The Gauge-Invariant Angular Momentum Sum-Rule for the Proton
• Implications of Color Gauge Symmetry For Nucleon Spin Structure
• Quark Orbital Angular Momentum in the Wandzura-Wilczek Approximation
• Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions
• Gluon Spin, Canonical Momentum, and Gauge Symmetry
• Spin and Orbital Angular Momentum Distribution Functions of the Nucleon
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• A Quark Model Analysis of Orbital Angular Momentum
• The Theory of the Nucleon Spin
• On the small-$x$ behavior of the orbital angular momentum distributions in QCD
• The Spin Budget of the Proton at NNLO and Beyond
• Generalized Parton Distributions and the Spin Structure of the Nucleon
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• QCD evolution of the orbital angular momentum of quarks and gluons: Genuine twist-three part
• Orbital structure of quarks inside the nucleon in the light-cone diquark model
• Proton spin after 30 years: what we know and what we don't?
• Numerical Solution of the Evolution Equation for Orbital Angular Momentum of Partons in the Nucleon
• Open Questions in High Energy Spin Physics
• Hadron Spin Dynamics
• Orbital Angular Momentum Parton Distributions in Light-Front Dynamics
• Illuminating the nucleon spin