Journal
PHYSICS LETTERS B
Volume 743, Issue -, Pages 180-183Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2015.02.054
Keywords
Proton spin sum rule; Lattice QCD
Funding
- U.S. Department of Energy Office of Science, Office of Nuclear Physics [DE-FG02-93ER-40762]
- Office of Science and Technology in Shanghai Municipal Government [11DZ2260700]
- National Science Foundation of China [11175114, 11405104]
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We provide a theoretical basis for understanding the spin structure of the proton in terms of the spin and orbital angular momenta of free quarks and gluons in Feynman's parton picture. We show that each term in the Jaffe-Manohar spin sum rule can be related to the matrix element of a gauge-invariant, but frame-dependent operator through a matching formula in large-momentum effective field theory. We present all the matching conditions for the spin content at one-loop order in perturbation theory, which provide a basis to calculate parton orbital angular momentum in lattice QCD at leading logarithmic accuracy. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.
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