Quark Orbital Angular Momentum from Lattice QCD

Abstract

We calculate the quark orbital angular momentum of the nucleon from the quark energy-momentum tensor form factors on the lattice. The disconnected insertion is estimated stochastically which employs the $Z_2$ noise with an unbiased subtraction. This reduced the error by a factor of 4 with negligible overhead. The total quark contribution to the proton spin is found to be $0.30\pm 0.07$. From this and the quark spin content we deduce the quark orbital angular momentum to be $0.17\pm 0.06$ which is $\sim 34$% of the proton spin. We further predict that the gluon angular momentum to be $0.20\pm 0.07$, i. e. $\sim$ 40% of the proton spin is due to the glue.

4 pages, 7 figures

References in corpus (3)

• Parton Degrees of Freedom from the Path-Integral Formalism
• Towards a lattice calculation of $\Delta q$ and $\delta q$
• Hadron Masses and Quark Condensate from Overlap Fermions

Cited by in corpus (59)

• Generalized Parton Distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Theory of deeply virtual Compton scattering on the nucleon
• Proton elastic form factor ratios to $Q^2$ = 3.5 GeV${}^2$ by polarization transfer
• Quark Imaging in the Proton Via Quantum Phase-Space Distributions
• Nucleon Form Factors from Generalized Parton Distributions
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• Generalized parton distributions from nucleon form factor data
• 50 Years of Quantum Chromodynamics
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Generalized Parton Distributions from Lattice QCD
• The Spin Structure of the Proton
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The Spin Structure of the Nucleon
• Mixing of scalar glueballs and flavour-singlet scalar mesons
• Interplay of Spin and Orbital Angular Momentum in the Proton
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Leading Chiral Contributions to the Spin Structure of the Proton
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• Chiral structure of nucleon gravitational form factors
• Nucleon strangeness form factors from N_f=2+1 clover fermion lattice QCD
• Helicity-dependent generalized parton distributions in constituent quark models
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Energy momentum tensor and the D-term in the bag model
• Radial excitations of Q-balls, and their D-term
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• The Parton Orbital Angular Momentum: Status and Prospects
• Energy momentum tensor, stability, and the D-term of Q-balls
• Moments of Nucleon's Parton Distribution for the Sea and Valence Quarks from Lattice QCD
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Quark orbital dynamics in the proton from Lattice QCD -- from Ji to Jaffe-Manohar orbital angular momentum
• Flavour singlet physics in lattice QCD with background fields
• A Lattice Study of the Magnetic Moment and the Spin Structure of the Nucleon
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Spin Decomposition of Electron in QED
• The energy-momentum tensor and D-term of Q-clouds
• Monopole and quadrupole contributions to the angular momentum density
• Spin and orbital angular momentum of the proton
• Gravitational transition form factors of $N(1535)\to N$
• Gravitational form factors of hyperons in light-cone QCD
• Generalized Parton Distributions and the Spin Structure of the Nucleon
• Strangeness and glue in the nucleon from lattice QCD
• Gravitational form factors of $N(1535)$ in QCD
• Strangeness Content in the Nucleon
• Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice
• Proton spin after 30 years: what we know and what we don't?
• Lattice QCD for Precision Nucleon Matrix Elements
• A Journey of Seeking Pressure and Forces in the Nucleon
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Quark and Glue Components of the Proton Spin from Lattice Calculation
• Insight into nucleon structure from generalized parton distributions
• Generalized Parton Distributions from Lattice QCD
• Understanding nucleon structure using lattice simulations
• Hadron Structure from Lattice QCD
• On impact parameter dependence of low-x structure functions
• Nucleon Structure from Lattice QCD