Spin and orbital angular momentum in gauge theories (II): QCD and nucleon spin structure

Abstract

Parallel to the construction of gauge invariant spin and orbital angular momentum for QED in paper (I) of this series, we present here an analogous but non-trivial solution for QCD. Explicitly gauge invariant spin and orbital angular momentum operators of quarks and gluons are obtained. This was previously thought to be an impossible task, and opens a more promising avenue towards the understanding of the nucleon spin structure.

3 pages, no figure; presented by F. Wang at NSTAR2007

References in corpus (7)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Precise determination of the spin structure function ${\mathbf{g}}_1$ of the proton, deuteron and neutron
• The Spin Structure of the Proton
• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• Photons in polychromatic rotating modes
• Exploring the polarization of gluons in the nucleon

Cited by in corpus (118)

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• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
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• Proton Spin Structure from Measurable Parton Distributions
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• The Spin Structure of the Nucleon
• On Gauge-Invariant Decomposition of Nucleon Spin
• Do gluons carry half of the nucleon momentum?
• Gluon orbital angular momentum at small-$x$
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Glue spin and helicity in proton from lattice QCD
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• Wilson lines and orbital angular momentum
• Geometrical approach to the proton spin decomposition
• Gluon polarization in the nucleon demystified
• Physics of Gluon Helicity Contribution to Proton Spin
• Spacetime algebra as a powerful tool for electromagnetism
• On the controversy concerning the definition of quark and gluon angular momentum
• Gluon Helicity Delta G from a Universality Class of Operators on a Lattice
• The light-front gauge-invariant energy-momentum tensor
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Understanding the proton's spin structure
• The Parton Orbital Angular Momentum: Status and Prospects
• Angular momentum sum rule for spin one hadronic systems
• Wigner distributions and orbital angular momentum of a proton
• Resolution of a conflict between Laser and Elementary Particle Physics
• Justifying the Naive Partonic Sum Rule for Proton Spin
• The issue of gauge choice in the Landau problem and the physics of canonical and mechanical orbital angular momenta
• BRST symmetry vs. Horizon condition in Yang-Mills theories
• The role of orbital angular momentum in the proton spin
• Twist-three relations of gluonic correlators for the transversely polarized nucleon
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• Proper identification of the gluon spin
• Quantum field theory for spin operator of the photon
• More on the relation between the two physically inequivalent decompositions of the nucleon spin and momentum
• Gluon Spin, Canonical Momentum, and Gauge Symmetry
• Gauge-covariant canonical formalism revisited with application to the proton spin decomposition
• Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Gauge-independence of gluon spin in the nucleon and its evolution
• Electromagnetic wave propagating along a space curve
• Orbital Angular Momentum and Generalized Transverse Momentum Distribution
• Nucleon spin decomposition and differential geometry
• On gauge invariant nucleon spin decomposition
• Gauge symmetry and background independence: Should the proton spin decomposition be path independent?
• Spin and Orbital Angular Momentum of Coherent Photons in a Waveguide
• The role of electron orbital angular momentum in the Aharonov-Bohm effect revisited
• Octet Spin Fractions and the Proton Spin Problem
• Special Theory of Relativity for a Graded Index Fibre
• Nucleon Spin in QCD: Old Crisis and New Resolution
• Quantum Commutation Relationship for Photonic Orbital Angular Momentum
• Angular momentum decomposition from a QED example
• Anomalous Geometric Spin Hall Effect of Light?
• Gauge Invariant Descriptions of Gluon Polarizations
• Gauge invariant hydrogen atom Hamiltonian
• Measurement of Optical Orbital and Spin Angular Momentum: Implications for Photon Angular Momentum
• On the canonical formulation of gauge field theories and Poincare transformations
• Art of spin decomposition
• Physical decomposition of the gauge and gravitational fields
• Unravelling the physical meaning of the Jaffe-Manohar decomposition of the nucleon spin
• The true radiation gauge for gravity
• 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
• Proton spin after 30 years: what we know and what we don't?
• Are there infinitely many decompositions of the nucleon spin ?
• Hamiltonian analysis of the proposal by Chen et. al., PRL 100 (2008) 232002
• Comment on `Controversy concerning the definition of quark and gluon angular momentum' by Elliot Leader (arXiv:1101.5956, PRD 83, 096012 (2011))
• Photonic Quantum Chromo-Dynamics
• Graviton topology
• Quark angular momentum in a spectator model
• Quark and Glue Components of the Proton Spin from Lattice Calculation
• Gauge Invariant Descriptions of Gluon Polarizations Revisited
• A still unsettled issue in the nucleon spin decomposition problem : On the role of surface terms and gluon topology
• New application of decomposition of U(1) gauge potential:Aharonov-Bohm effect and Anderson-Higgs mechanism
• Spin of Photons: Nature of Polarisation
• Potential linear and angular momentum in the scalar diquark model
• Unconventional Supersymmetry via the Dressing Field Method
• Pseudogauge ambiguity in the distributions of energy density, pressure, and shear force inside the nucleon
• Dirac Equation for Photons: Origin of Polarisation
• The proton spin decomposition : path dependence and gauge symmetry
• Quark and gluon orbital angular momentum: Where are we?
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• Four no-go theorems on the existence of spin and orbital angular momentum of massless bosons
• Extraordinary spin density and energy back-flow under interference
• Gauge Invariant Noether's Theorem and The Proton Spin Crisis
• Contribution of Orbital Angular Momentum to the Nucleon Spin
• Spin Angular Momentum of Proton Spin Puzzle in Complex Octonion Spaces
• Gauge invariant gluon spin operator for spinless non-linear wave solutions
• Zero curvature is a necessary and sufficient condition for a spin-orbital decomposition
• Reformulations of Yang-Mills Theories with Space-time Tensor Fields
• Glue Spin $S_G$ in The Longitudinally Polarized Nucleon
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• Energy operator for non-relativistic and relativistic quantum mechanics revisited
• Gauge-invariant decomposition of nucleon spin
• The gauge-invariant canonical energy-momentum tensor
• Are there infinitely many decompositions of the nucleon spin ?
• The quark orbital angular momentum of ground state octet baryons
• Scaling Transformation for Nonlocal Interactions
• Symmetry of Dirac two-oscillator system, gauge-invariance, and Landau problem
• Macroscopic Singlet, Triplet, and Colour-Charged States of Coherent Photons
• Metric-Like Formulation Of the Spin-Three Gravity In Three Dimensions
• Some remarks on the current issues in nucleon spin structure study
• Role of higher twist distributions in the tomography of proton
• Nucleon spin decomposition at twist three
• Do phonons carry spin?
• Orbital Angular Momentum Distribution of Gluons at Small-$x$ : Analytic interpolation between Ji and Jaffe-Manohar
• A New Improved Energy-Momentum Tensor and Its Possible Role in Gravity
• Problems related to gauge invariance and momentum, spin decomposition in nucleon structure study
• The nucleon spin decomposition: news and experimental implications
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• Lorentz gauge and Coulomb gauge for tetrad field of gravity
• Geometrizing the Anomaly