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Proton Spin Structure from Large Momentum Effective Theory

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Abstract

Recently a large momentum effective theory approach has been proposed to compute parton observables. We discuss its application to the spin structure of the proton. In particular, we explain how the partonic contribution to the proton spin in the Jaffe–Manohar sum rule can be computed within the large momentum effective theory framework.

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References

  1. Jaffe, R.L., Manohar, A.V.: The G(1) problem: fact and fantasy on the spin of the proton. Nucl. Phys. B 337, 509–546 (1990)

    Article  ADS  Google Scholar 

  2. Ji, X.-D.: Gauge-invariant decomposition of nucleon spin. Phys. Rev. Lett. 78, 610–613 (1997). [arXiv:hep-ph/9603249]

    Article  ADS  Google Scholar 

  3. Ji, X.D.: Deeply virtual compton scattering. Phys. Rev. D 55, 7114–7125 (1997). [arXiv:hep-ph/9609381]

    Article  ADS  Google Scholar 

  4. Hoodbhoy, P., Ji, X.D., Lu, W.: Quark orbital–angular–momentum distribution in the nucleon. Phys. Rev. D 59, 014013 (1999). [arXiv:hep-ph/9804337]

    Article  ADS  Google Scholar 

  5. Jaffe, R.L.: Gluon spin in the nucleon. Phys. Lett. B 365, 359–366 (1996). [arXiv:hep-ph/9509279]

    Article  ADS  Google Scholar 

  6. Chen, X.-S., Wang, F.: Gauge invariance and hadron structure. arXiv:hep-ph/9802346

  7. Wang, F., Sun, W.-M., Lu, X.-F.: Quantum version of gauge invariance and nucleon internal structure. arXiv:hep-ph/0510285

  8. Leader, E.: On the controversy concerning the definition of quark and gluon angular momentum. Phys. Rev. D 83, 096012 (2011). [Erratum-ibid. D 85, 039905 (2012)] [arXiv:1101.5956 [hep-ph]]

  9. Hoodbhoy, P., Ji, X.D.: Does the gluon spin contribute in a gauge invariant way to nucleon spin? Phys. Rev. D 60, 114042 (1999). [arXiv:hep-ph/9908275]

    Article  ADS  Google Scholar 

  10. Ji, X., Zhang, J.H., Zhao, Y.: Physics of the gluon-helicity contribution to proton spin. Phys. Rev. Lett. 111, 112002 (2013). [arXiv:1304.6708 [hep-ph]]

  11. Ji, X., Xu, Y., Zhao, Y.: Gluon spin, canonical momentum, and gauge symmetry. JHEP 1208, 082 (2012)

    Article  ADS  Google Scholar 

  12. Hatta, Y., Ji, X., Zhao, Y.: Gluon helicity Delta G from a universality class of operators on a lattice. Phys. Rev. D 89, 085030 (2014). [arXiv:1310.4263 [hep-ph]]

  13. Ji, X., Zhang, J.H., Zhao, Y.: Justifying the naive partonic sum rule for proton spin. Phys. Lett. B 743, 180–183 (2015). [arXiv:1409.6329 [hep-ph]]

  14. Berestetskii, V.B., Pitaevskii, L.P., Lifshitz, E.M.: Quantum electrodynamics, 2nd edn, Vol. 4 in Courses in Theoretical Physics, Butterworth-Heineman (1982)

  15. Ji, X.-D., Tang, J., Hoodbhoy, P.: The spin structure of the nucleon in the asymptotic limit. Phys. Rev. Lett. 76, 740–743 (1996). [arXiv:hep-ph/9510304]

    Article  ADS  Google Scholar 

  16. Jackson, J.D.: Classical Electrodynamics, 3rd edn. Wiley, New York (1999)

    MATH  Google Scholar 

  17. Ji, X.: Parton physics from large-momentum effective field theory. Sci. China Phys. Mech. Astron. 57(7), 1407 (2014). [arXiv:1404.6680 [hep-ph]]

  18. Ji, X.: Parton physics on a euclidean lattice. Phys. Rev. Lett. 110, 262002 (2013). [arXiv:1305.1539 [hep-ph]]

  19. Xiong, X., Ji, X., Zhang, J.H., Zhao, Y.: One-loop matching for parton distributions: non-singlet case. Phys. Rev. D 90, 014051 (2014). [arXiv:1310.7471 [hep-ph]]

  20. Ji, X., Zhang, J.H.: Renormalization of quasiparton distribution. Phys. Rev. D 92, 034006 (2015). [arXiv:1505.07699 [hep-ph]]

  21. Ji, X., Schfer, A., Xiong, X., Zhang, J.H.: One-loop matching for generalized parton distributions. Phys. Rev. D 92, 014039 (2015). [arXiv:1506.00248 [hep-ph]]

  22. Xiong, X., Zhang, J.H.: One-loop matching for transversity generalized parton distribution. Phys. Rev. D 92(5), 054037 (2015). [arXiv:1509.08016 [hep-ph]]

  23. Lin, H.W., Chen, J.W., Cohen, S.D., Ji, X.: Flavor structure of the nucleon sea from lattice QCD. Phys. Rev. D 91, 054510 (2015). [arXiv:1402.1462 [hep-ph]]

  24. Alexandrou, C., Cichy, K., Drach, V., Garcia-Ramos, E., Hadjiyiannakou, K., Jansen, K., Steffens, F., Wiese, C.: Lattice calculation of parton distributions. Phys. Rev. D 92, 014502 (2015). [arXiv:1504.07455 [hep-lat]]

  25. Ma, Y.Q., Qiu, J.W.: Extracting parton distribution functions from lattice QCD calculations. arXiv:1404.6860 [hep-ph]

  26. Chen, X.-S., Lü, X.-F., Sun, W.-M., Wang, F., Goldman, T.: Spin and orbital angular momentum in gauge theories: proton spin structure and multipole radiation revisited. Phys. Rev. Lett. 100, 232002 (2008)

    Article  ADS  Google Scholar 

  27. Chen, X.-S., Sun, W.-M., Lü, X.-F., Wang, F., Goldman, T.: Do gluons carry half of the nucleon momentum? Phys. Rev. Lett. 103, 062001 (2009)

    Article  ADS  Google Scholar 

  28. Treat, R.P.: Gauge invariant decompositon of Yang-Mills potentials. J. Math. Phys. 13, 1704–1714 (1972). [Erratum-ibid. 14, 1296 (1973)]

  29. Capitani, S.: Lattice perturbation theory. Phys. Rept. 382, 113–302 (2003). [arXiv:hep-lat/0211036]

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    Jian-Hui Zhang

  2. INPAC, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Xiangdong Ji

  3. Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, MD, 20742, USA

    Xiangdong Ji & Yong Zhao

Authors
  1. Jian-Hui Zhang
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  2. Xiangdong Ji
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  3. Yong Zhao
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Correspondence to Jian-Hui Zhang.

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Zhang, JH., Ji, X. & Zhao, Y. Proton Spin Structure from Large Momentum Effective Theory. Few-Body Syst 57, 615–620 (2016). https://doi.org/10.1007/s00601-016-1077-1

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