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Orbital Angular Momentum and Generalized Transverse Momentum Distribution
We show that, when boosted to the infinite momentum frame, the quark and
gluon orbital angular momentum operators defined in the nucleon spin sum rule
of X. S. Chen et al. are the same as those derived from generalized transverse
momentum distributions. This completes the connection between the infinite
momentum limit of each term in that sum rule and experimentally measurable
observables. We also show that these orbital angular momentum operators can be
defined locally, and discuss the strategies of calculating them in lattice QCD.Comment: 8 page
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