- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Evolution equations for connected and disconnected sea parton distributions

Keh-Fei Liu

  • Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA

PDF

Phys. Rev. D 96, 033001 – Published 10 August, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.033001

Abstract

It has been revealed from the path-integral formulation of the hadronic tensor that there are connected sea and disconnected sea partons. The former is responsible for the Gottfried sum rule violation primarily and evolves the same way as the valence. Therefore, the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations can be extended to accommodate them separately. We discuss its consequences and implications vis-á-vis lattice calculations.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (55)

  1. J. C. Peng and J. W. Qiu, Prog. Part. Nucl. Phys. 76, 43 (2014).
  2. K. Gottfried, Phys. Rev. Lett. 18, 1174 (1967).
  3. A. Amaudruz et al. (NMC Collaboration), Phys. Rev. Lett. 66, 2712 (1991); M. Arneodo et al., Phys. Rev. D 50, R1 (1994).
  4. A. Baldit et al. (NA51 Collaboration), Phys. Lett. B 332, 244 (1994).
  5. E. A. Hawker et al. (E866/NuSea Collaboration), Phys. Rev. Lett. 80, 3715 (1998); J. C. Peng et al., Phys. Rev. D 58, 092004 (1998); R. S. Towell et al., 64, 052002 (2001).
  6. D. A. Ross and C. T. Sachrajda, Nucl. Phys. B149, 497 (1979).
  7. A. L. Kataev and G. Parente, Phys. Lett. B 566, 120 (2003).
  8. J. P. Speth and A. W. Thomas, Adv. Nucl. Phys. 24, 83 (2002).
  9. S. Kumano, Phys. Rep. 303, 183 (1998).
  10. G. T. Garvey and J. C. Peng, Prog. Part. Nucl. Phys. 47, 203 (2001).
  11. J. D. Sullivan, Phys. Rev. D 5, 1732 (1972).
  12. K. F. Liu and S. J. Dong, Phys. Rev. Lett. 72, 1790 (1994).
  13. K. F. Liu, S. J. Dong, T. Draper, D. Leinweber, J. H. Sloan, W. Wilcox, and R. M. Woloshyn, Phys. Rev. D 59, 112001 (1999).
  14. K. F. Liu, Phys. Rev. D 62, 074501 (2000).
  15. K. F. Liu, W. C. Chang, H. Y. Cheng, and J. C. Peng, Phys. Rev. Lett. 109, 252002 (2012).
  16. T. Doi et al. (χ QCD Collaboration), Proc. Sci., LATTICE2007 (2008) 163.
  17. S. Moch, J. A. M. Vermaseren, and A. Vogt, Nucl. Phys. B688, 101 (2004); B691, 129 (2004).
  18. A. Cafarella, C. Coriano, and M. Guzzi, Comput. Phys. Commun. 179, 665 (2008).
  19. P. Nadolsky (private communication).
  20. S. Larin and J. Vermaseren, Phys. Lett. B 259, 345 (1991).
  21. U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, and L. Silvestrini, Phys. Lett. B 432, 411 (1998).
  22. W. Detmold and C. J. D. Lin, Phys. Rev. D 73, 014501 (2006).
  23. K. F. Liu, Proc. Sci., LATTICE2015 (2016) 115.
  24. S. J. Brodsky and I. A. Schmidt, Phys. Rev. D 43, 179 (1991).
  25. H. L. Lai, M. Guzzi, J. Huston, Z. Li, P. M. Nadolsky, J. Pumplin, and C.-P. Yuan, Phys. Rev. D 82, 074024 (2010).
  26. R. S. Towell et al. (E866/NuSea Collaboration), Phys. Rev. D 64, 052002 (2001).
  27. K. Ackerstaff et al. (HERMES Collaboration), Phys. Rev. Lett. 81, 5519 (1998).
  28. S. Collins, Proc. Sci., LATTICE2016 (2017) 009.
  29. T. Bhattacharya, V. Cirigliano, S. Cohen, R. Gupta, H. W. Lin, and B. Yoon, Phys. Rev. D 94, 054508 (2016).
  30. A. Abdel-Rehim et al., Phys. Rev. D 92, 114513 (2015); 93, 039904 (2016).
  31. K. F. Liu, J. Liang, and Y. B. Yang, arXiv:1702.04384.
  32. M. Deka et al., Phys. Rev. D 91, 014505 (2015).
  33. Y. B. Yang, R. S. Sufian, A. Alexandru, T. Draper, M. J. Glatzmaier, K. F. Liu, and Y. Zhao, Phys. Rev. Lett. 118, 102001 (2017).
  34. C. Alexandrou, M. Constantinou, K. Hadjiyiannakou, K. Jansen, H. Panagopoulos, and C. Wiese, arXiv:1611.06901.
  35. Y. B. Yang, A. Alexandru, T. Draper, J. Liang, and K.-F. Liu (xQCD Collaboration), Phys. Rev. D 94, 054503 (2016).
  36. R. S. Sufian, Y. B. Yang, A. Alexandru, T. Draper, K. F. Liu, and J. Liang, Phys. Rev. Lett. 118, 042001 (2017).
  37. A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 666, 446 (2008).
  38. A. Airapetian et al. (HERMES Collaboration), Phys. Rev. D 89, 097101 (2014).
  39. M. Sun, Y. Yang, K. F. Liu, and M. Gong, Proc. Sci., LATTICE2014 (2015) 142.
  40. M. Sun, K. F. Liu et al. (to be published).
  41. Y. Burnier and A. Rothkopf, Phys. Rev. Lett. 111, 182003 (2013).
  42. X. Ji, Phys. Rev. Lett. 110, 262002 (2013).
  43. H. W. Lin, J. W. Chen, S. D. Cohen, and X. Ji, Phys. Rev. D 91, 054510 (2015).
  44. C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, and C. Wiese, Phys. Rev. D 92, 014502 (2015).
  45. J. W. Chen, S. D. Cohen, X. Ji, H. W. Lin, and J. H. Zhang, Nucl. Phys. B911, 246 (2016).
  46. W. Vogelsang, Phys. Rev. D 54, 2023 (1996).
  47. S. J. Dong, J.-F. Lagae, and K. F. Liu, Phys. Rev. Lett. 75, 2096 (1995).
  48. M. Fukugita, Y. Kuramashi, M. Okawa, and A. Ukawa, Phys. Rev. Lett. 75, 2092 (1995).
  49. S. Gusken, P. Ueberholz, J. Viehoff, N. Eicker, T. Lippert, K. Schilling, A. Spitz, and T. Struckmann (TXL Collaboration), Phys. Rev. D 59, 114502 (1999).
  50. G. S. Bali et al. (QCDSF Collaboration), Phys. Rev. Lett. 108, 222001 (2012).
  51. R. Babich, R. C. Brower, M. A. Clark, G. T. Fleming, J. C. Osborn, C. Rebbi, and D. Schaich, Phys. Rev. D 85, 054510 (2012).
  52. M. Engelhardt, Phys. Rev. D 86, 114510 (2012).
  53. A. Abdel-Rehim, C. Alexandrou, M. Constantinou, V. Drach, K. Hadjiyiannakou, K. Jansen, G. Koutsou, and A. Vaquero, Phys. Rev. D 89, 034501 (2014).
  54. A. J. Chambers et al., Phys. Rev. D 92, 114517 (2015).
  55. M. Gong, Y. B. Yang, A. Alexandru, T. Draper, and K. F. Liu, Phys. Rev. D 95, 114509 (2017).

Outline

Information

Phys. Rev. D 96, 033001– Published 10 August, 2017
  • Received 14 April 2017
Article part of CHORUS

© 2017 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation