Justifying the naive partonic sum rule for proton spin

Ji, Xiangdong; Zhang, Jian-Hui; Zhao, Yong

doi:10.1016/j.physletb.2015.02.054

Title: Justifying the naive partonic sum rule for proton spin

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Abstract

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.

Authors:

Ji, Xiangdong; Zhang, Jian-Hui;

Publication Date:: Wed Apr 01 00:00:00 EDT 2015

Research Org.:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1228402

Alternate Identifier(s):: OSTI ID: 1184808

Grant/Contract Number:: FG02-93ER-40762; 11DZ2260700; 11175114; 11405104

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 743 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Ji, Xiangdong, Zhang, Jian-Hui, and Zhao, Yong. Justifying the naive partonic sum rule for proton spin.  Netherlands: N. p., 2015. 
Web.  doi:10.1016/j.physletb.2015.02.054.

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                    Ji, Xiangdong, Zhang, Jian-Hui, & Zhao, Yong. Justifying the naive partonic sum rule for proton spin.  Netherlands.  https://doi.org/10.1016/j.physletb.2015.02.054

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                    Ji, Xiangdong, Zhang, Jian-Hui, and Zhao, Yong. Wed .  
"Justifying the naive partonic sum rule for proton spin".  Netherlands.  https://doi.org/10.1016/j.physletb.2015.02.054.

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@article{osti_1228402,

  title        = {Justifying the naive partonic sum rule for proton spin},

  author       = {Ji, Xiangdong and Zhang, Jian-Hui and Zhao, Yong},

  abstractNote = {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.},

  doi          = {10.1016/j.physletb.2015.02.054},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 743,

  place        = {Netherlands},

  year         = {Wed Apr 01 00:00:00 EDT 2015},

  month        = {Wed Apr 01 00:00:00 EDT 2015}

}

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