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@ARTICLE{Engelhardt:885868,
      author       = {Engelhardt, M. and Green, J. R. and Hasan, N. and Krieg,
                      Stefan and Meinel, S. and Negele, J. and Pochinsky, A. and
                      Syritsyn, S.},
      title        = {{F}rom {J}i to {J}affe-{M}anohar orbital angular momentum
                      in lattice {QCD} using a direct derivative method},
      journal      = {Physical review / D},
      volume       = {102},
      number       = {7},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {Inst.812068},
      reportid     = {FZJ-2020-04144},
      pages        = {074505},
      year         = {2020},
      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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000582241100006},
      doi          = {10.1103/PhysRevD.102.074505},
      url          = {https://juser.fz-juelich.de/record/885868},
}