From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method

Engelhardt, M.; Green, J. R.; Hasan, N.; Krieg, S.; Meinel, S.; Negele, J.; Pochinsky, A.; Syritsyn, S.

doi:10.1103/PhysRevD.102.074505

Title: From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method

Abstract

A lattice QCD approach to quark orbital angular momentum in the proton based on generalized transverse momentum-dependent parton distributions (GTMDs) is enhanced methodologically by incorporating a direct derivative technique. This improvement removes a significant numerical bias that had been seen to afflict results of a previous study. In particular, the value obtained for Ji quark orbital angular momentum is reconciled with the one obtained independently via Ji’s sum rule, validating the GMTD approach. Since GTMDs simultaneously contain information about the quark impact parameter and transverse momentum, they permit a direct evaluation of the cross product of the latter. They are defined through proton matrix elements of a quark bilocal operator containing a Wilson line; the choice in Wilson line path allows one to continuously interpolate from Ji to Jaffe-Manohar quark orbital angular momentum. The latter is seen to be significantly enhanced in magnitude compared to Ji quark orbital angular momentum, confirming previous results.

Authors:

;

; Hasan, N.;

; Meinel, S.;

;

; Syritsyn, S.

Publication Date:: Fri Oct 23 00:00:00 EDT 2020

Research Org.:: New Mexico State Univ., Las Cruces, NM (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

OSTI Identifier:: 1686206

Alternate Identifier(s):: OSTI ID: 1686079; OSTI ID: 1712418

Grant/Contract Number:: AC02-05CH11231; FG02-96ER40965; SC0011090; SC0018121; SC0009913; ACI-1053575; PHY-1847893

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 102 Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice field theory; Baryons; Angular momentum; Lattice QCD

Citation Formats


                    Engelhardt, M., Green, J. R., Hasan, N., Krieg, S., Meinel, S., Negele, J., Pochinsky, A., and Syritsyn, S. From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.102.074505.

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                    Engelhardt, M., Green, J. R., Hasan, N., Krieg, S., Meinel, S., Negele, J., Pochinsky, A., & Syritsyn, S. From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method.  United States.  https://doi.org/10.1103/PhysRevD.102.074505

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                    Engelhardt, M., Green, J. R., Hasan, N., Krieg, S., Meinel, S., Negele, J., Pochinsky, A., and Syritsyn, S. Fri .  
"From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method".  United States.  https://doi.org/10.1103/PhysRevD.102.074505.

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@article{osti_1686206,

  title        = {From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method},

  author       = {Engelhardt, M. and Green, J. R. and Hasan, N. and Krieg, S. and Meinel, S. and Negele, J. and Pochinsky, A. and Syritsyn, S.},

  abstractNote = {A lattice QCD approach to quark orbital angular momentum in the proton based on generalized transverse momentum-dependent parton distributions (GTMDs) is enhanced methodologically by incorporating a direct derivative technique. This improvement removes a significant numerical bias that had been seen to afflict results of a previous study. In particular, the value obtained for Ji quark orbital angular momentum is reconciled with the one obtained independently via Ji’s sum rule, validating the GMTD approach. Since GTMDs simultaneously contain information about the quark impact parameter and transverse momentum, they permit a direct evaluation of the cross product of the latter. They are defined through proton matrix elements of a quark bilocal operator containing a Wilson line; the choice in Wilson line path allows one to continuously interpolate from Ji to Jaffe-Manohar quark orbital angular momentum. The latter is seen to be significantly enhanced in magnitude compared to Ji quark orbital angular momentum, confirming previous results.},

  doi          = {10.1103/PhysRevD.102.074505},

  journal      = {Physical Review. D.},

  number       = 7,

  volume       = 102,

  place        = {United States},

  year         = {Fri Oct 23 00:00:00 EDT 2020},

  month        = {Fri Oct 23 00:00:00 EDT 2020}

}

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Title: From Ji to Jaffe-Manohar orbital angular momentum in lattice QCD using a direct derivative method

Abstract

Citation Formats

On the extraction of zero momentum form factors on the lattice journal, December 2012

Fully unintegrated parton correlation functions and factorization in lowest-order hard scattering journal, April 2008

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Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach journal, April 2020

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Computing the nucleon charge and axial radii directly at Q 2 = 0 in lattice QCD journal, February 2018

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Intrinsic quark transverse momentum in the nucleon from lattice QCD journal, December 2009

The Chroma Software System for Lattice QCD journal, March 2005

On the extraction of zero momentum form factors on the lattice
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Fully unintegrated parton correlation functions and factorization in lowest-order hard scattering
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Glue Spin and Helicity in the Proton from Lattice QCD
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Justifying the naive partonic sum rule for proton spin
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Nonperturbative renormalization of staple-shaped Wilson line operators in lattice QCD
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Sivers and Boer-Mulders observables from lattice QCD
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QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum
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High-precision calculation of the strange nucleon electromagnetic form factors
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Lattice QCD study of the Boer-Mulders effect in a pion
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Improvement, generalization, and scheme conversion of Wilson-line operators on the lattice in the auxiliary field approach
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Quark orbital dynamics in the proton from lattice QCD: From Ji to Jaffe-Manohar orbital angular momentum
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Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects
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Foundations of Perturbative QCD
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Transverse momentum dependent parton distribution and fragmentation functions with QCD evolution
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Quark Wigner distributions and orbital angular momentum
journal, July 2011

The angular momentum controversy: What’s it all about and does it matter?
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Exploring quark transverse momentum distributions with lattice QCD
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QCD evolution of the Sivers function
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Computing the nucleon charge and axial radii directly at $Q^{2} = 0$ in lattice QCD
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Nucleon generalized form factors from two-flavor lattice QCD
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