Skip to main content
SpringerLink
Log in

Nucleon structure on the lattice

  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

A few chosen nucleon properties are described from a lattice QCD perspective: the nucleon sigma term and the scalar strangeness in the nucleon; the vector form factors in the nucleon, including the vector strangeness contribution, as well as parity breaking effects like the anapole and electric dipole moment; and finally the axial and tensor charges of the nucleon. The status of the lattice calculations is presented and their potential impact on phenomenology is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Hagler, Phys. Rept. 490, 49 (2010) [arXiv:0912.5483]

    Article  MathSciNet  ADS  Google Scholar 

  2. C. Sachrajda, PoS LATTICE2010, 018 (2010) [arXiv:1103.5959]

    Google Scholar 

  3. G. Colangelo, S. Durr, A. Juttner, L. Lellouch, H. Leutwyler, et al., Review of lattice results concerning low energy particle physics [arXiv:1011.4408]

  4. M.A. Shifman, A. Vainshtein, V.I. Zakharov, Phys. Lett. B 78, 443 (1978)

    Article  ADS  Google Scholar 

  5. X.-D. Ji, Phys. Rev. Lett. 74, 1071 (1995) [hep-ph/9410274]

    Article  ADS  Google Scholar 

  6. T.P. Cheng, R. Dashen, Phys. Rev. Lett. 26, 594 (1971)

    Article  ADS  Google Scholar 

  7. J. Gasser, H. Leutwyler, M. Sainio, Phys. Lett. B 253, 252 (1991)

    Article  ADS  Google Scholar 

  8. M. Pavan, I. Strakovsky, R. Workman, R. Arndt, PiN Newslett. 16, 110 (2002) [hep-ph/0111066]

    Google Scholar 

  9. A. Walker-Loud, H.-W. Lin, D. Richards, R. Edwards, M. Engelhardt, et al., Phys. Rev. D 79, 054502 (2009) [arXiv:0806.4549]

    Article  ADS  Google Scholar 

  10. R. Young, A. Thomas, Phys. Rev. D 81, 014503 (2010) [arXiv:0901.3310]

    Article  ADS  Google Scholar 

  11. PACS-CS Collaboration Collaboration, S. Aoki, et al., Phys. Rev. D 79, 034503 (2009) [arXiv:0807.1661]

    Article  ADS  Google Scholar 

  12. R.D. Young, D.B. Leinweber, A.W. Thomas, Prog. Part. Nucl. Phys. 50, 399 (2003) [hep-lat/0212031]

    Article  ADS  Google Scholar 

  13. European Twisted Mass Collaboration Collaboration, C. Alexandrou, et al., Phys. Rev. D 78, 014509 (2008) [arXiv:0803.3190]

    Article  ADS  Google Scholar 

  14. H. Ohki, H. Fukaya, S. Hashimoto, T. Kaneko,, H. Matsufuru, et al., Phys. Rev. D 78, 054502 (2008) [arXiv:0806.4744]

    Article  ADS  Google Scholar 

  15. S. Durr, Z. Fodor, J. Frison, T. Hemmert, C. Hoelbling, et al., PoS LATTICE2010, 102 (2010) [arXiv:1012.1208]

    Google Scholar 

  16. J.R. Ellis, K.A. Olive, C. Savage, Phys. Rev. D 77, 065026 (2008) [arXiv:0801.3656]

    Article  ADS  Google Scholar 

  17. RBC Collaboration, UKQCD Collaboration Collaboration, S. Ohta, Nucleon structure from 2+1 flavor domain wall QCD at nearly physical pion mass [arXiv:1102.0551]

  18. V. Drach, K. Jansen, J. Carbonell, M. Papinutto, C. Alexandrou, PoS LATTICE2010, 101 (2010) [arXiv:1012.3861]

    Google Scholar 

  19. J. Gasser, H. Leutwyler, Phys. Rept. 87, 77 (1982)

    Article  ADS  Google Scholar 

  20. B. Borasoy, U.-G. Meissner, Annals Phys. 254, 192 (1997) [hep-ph/9607432]

    Article  ADS  Google Scholar 

  21. JLQCD collaboration Collaboration, K. Takeda, et al., Nucleon strange quark content from two-flavor lattice QCD with exact chiral symmetry [arXiv:1011.1964]

  22. M. Luscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]

    Article  ADS  Google Scholar 

  23. JLQCD Collaboration Collaboration, K. Takeda, et al., PoS LATTICE2010, 160 (2010), [arXiv:1012.1907]

    Google Scholar 

  24. MILC Collaboration Collaboration, D. Toussaint, W. Freeman, Phys. Rev. Lett. 103, 122002 (2009) [arXiv:0905.2432]

    Article  ADS  Google Scholar 

  25. A. Kryjevski, Phys. Rev. D 70, 094028 (2004) [hep-ph/0312196]

    Article  ADS  Google Scholar 

  26. UKQCD Collaboration Collaboration, C. Michael, C. McNeile, D. Hepburn, Nucl. Phys. Proc. Suppl. 106, 293 (2002) [hep-lat/0109028]

    Article  ADS  Google Scholar 

  27. T. Yamazaki, et al., Phys. Rev. D 79, 114505 (2009) [arXiv:0904.2039]

    Article  ADS  Google Scholar 

  28. S.N. Syritsyn, et al., Phys. Rev. D 81, 034507 (2010) [arXiv:0907.4194]

    Article  ADS  Google Scholar 

  29. RBC-UKQCD Collaboration Collaboration, C. Allton, et al., Phys. Rev. 78, 114509 (2008) [arXiv:0804.0473]

    Google Scholar 

  30. J.J. Kelly, Phys. Rev. C 70, 068202 (2004)

    Article  ADS  Google Scholar 

  31. H.B. Meyer, PoS DIS2010, 284 (2010) [arXiv:1008.1181]

    Google Scholar 

  32. C. Alexandrou, M. Brinet, J. Carbonell, M. Constantinou, P. Harraud, et al., Nucleon electromagnetic form factors in twisted mass lattice QCD [arXiv:1102.2208]

  33. ETM Collaboration Collaboration, C. Alexandrou, et al., Phys. Rev. D 83, 045010 (2011) [arXiv:1012.0857]

    Article  ADS  Google Scholar 

  34. LHPC Collaboration, J.D. Bratt, et al., Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions [arXiv:1001.3620]

  35. QCDSF/UKQCD Collaboration Collaboration, D. Pleiter, et al., PoS LATTICE2010, 153 (2010) [arXiv:1101.2326]

    Google Scholar 

  36. V. Bernard, H.W. Fearing, T.R. Hemmert, U.G. Meissner, Nucl. Phys. A 635, 121 (1998) [hep-ph/9801297]

    Article  ADS  Google Scholar 

  37. P. Wang, D. Leinweber, A. Thomas, R. Young, Phys. Rev. D 79, 094001 (2009) [arXiv:0810.1021]

    Article  ADS  Google Scholar 

  38. T. Doi, et al., Phys. Rev. D 80, 094503 (2009) [arXiv:0903.3232]

    Article  MathSciNet  ADS  Google Scholar 

  39. R. Babich, R.C. Brower, M.A. Clark, G.T. Fleming, J.C. Osborn, et al., Exploring strange nucleon form factors on the lattice [arXiv:1012.0562]

  40. S. Baunack, K. Aulenbacher, D. Balaguer Rios, L. Capozza, J. Diefenbach, et al., Phys. Rev. Lett. 102, 151803 (2009) [arXiv:0903.2733]

    Article  ADS  Google Scholar 

  41. J.-C. Peng, Mod. Phys. Lett. A 23, 1397 (2008) [arXiv:0804.4254]

    Article  ADS  Google Scholar 

  42. D. Beck, R. McKeown, Ann. Rev. Nucl. Part. Sci. 51, 189 (2001) [hep-ph/0102334]

    Article  ADS  Google Scholar 

  43. C. Baker, D. Doyle, P. Geltenbort, K. Green, M. van der Grinten, et al., Phys. Rev. Lett. 97, 131801 (2006) [hep-ex/0602020]

    Article  ADS  Google Scholar 

  44. S. Dar, The Neutron EDM in the SM: A Review [hep-ph/0008248]

  45. S. Aoki, R. Horsley, T. Izubuchi, Y. Nakamura, D. Pleiter, et al., The Electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta [arXiv:0808.1428]

  46. H. Leutwyler, A.V. Smilga, Phys. Rev. D 46, 5607 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  47. E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, et al., Phys. Rev. D 72, 014504 (2005) [hep-lat/0505022]

    Article  ADS  Google Scholar 

  48. F. Berruto, T. Blum, K. Orginos, A. Soni, Phys. Rev. D 73, 054509 (2006) [hep-lat/0512004]

    Article  ADS  Google Scholar 

  49. E. Shintani, S. Aoki, N. Ishizuka, K. Kanaya, Y. Kikukawa, et al., Phys. Rev. D 75, 034507 (2007) [hep-lat/0611032]

    Article  ADS  Google Scholar 

  50. E. Shintani, S. Aoki, Y. Kuramashi, Phys. Rev. D 78, 014503 (2008) [arXiv:0803.0797]

    Article  ADS  Google Scholar 

  51. R. Crewther, P. Di Vecchia, G. Veneziano, E. Witten, Phys. Lett. B 88, 123 (1979)

    Article  ADS  Google Scholar 

  52. T.R. Hemmert, M. Procura, W. Weise, Phys. Rev. D 68, 075009 (2003) [hep-lat/0303002]

    Article  ADS  Google Scholar 

  53. R. Jaffe, Phys. Lett. B 193, 101 (1987)

    Article  ADS  Google Scholar 

  54. LHPC Collaborations Collaboration, P. Hagler, et al., Phys. Rev. D 77, 094502 (2008) [arXiv:0705.4295]

    Article  ADS  Google Scholar 

  55. M. Praszalowicz, H.-C. Kim, K. Goeke, SU(3) symmetry breaking and polarized parton densities [hep-ph/0110135]

  56. M. Anselmino, M. Boglione, U. D’Alesio, A. Kotzinian, S. Melis, et al., Transversity and Collins Fragmentation Functions: Towards a New Global Analysis [arXiv:0807.0173]

  57. R. Edwards, G. Fleming, P. Hagler, J.W. Negele, K. Orginos, et al., PoS LAT2006, 121 (2006) [hep-lat/0610007]

    Google Scholar 

  58. for RBC and UKQCD Collaborations Collaboration, S. Ohta, T. Yamazaki, Nucleon structure with dynamical (2+1)-flavor domain wall fermions lattice QCD [arXiv:0810.0045]

  59. H.-W. Lin, T. Blum, S. Ohta, S. Sasaki, T. Yamazaki, Phys. Rev. D 78, 014505 (2008) [arXiv:0802.0863]

    Article  ADS  Google Scholar 

  60. QCDSF Collaboration, UKQCD Collaboration Collaboration, M. Gockeler, et al., Phys. Lett. B 627, 113 (2005) [hep-lat/0507001]

    Article  ADS  Google Scholar 

  61. M. Burkardt, A. Miller, W.-D. Nowak, Rept. Prog. Phys. 73, 016201 (2010) [arXiv:0812.2208]

    Article  ADS  Google Scholar 

  62. A. Khan, M. Gockeler, P. Hagler, T. Hemmert, R. Horsley, et al., Nucl. Phys. Proc. Suppl. 140, 408 (2005) [hep-lat/0409161]

    Article  ADS  Google Scholar 

  63. H.-W. Lin, K. Orginos, Phys. Rev. D 79, 034507 (2009) [arXiv:0712.1214]

    Article  ADS  Google Scholar 

  64. J. Foley, K. Jimmy Juge, A. O’Cais, M. Peardon, S.M. Ryan, et al., Comput. Phys. Commun. 172, 145 (2005) [hep-lat/0505023]

    Article  ADS  Google Scholar 

  65. G.S. Bali, S. Collins, A. Schafer, Comput. Phys. Commun. 181, 1570 (2010) [arXiv:0910.3970]

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Kernphysik, Johannes Gutenberg Universität Mainz, 55099, Mainz, Germany

    H. B. Meyer

Authors
  1. H. B. Meyer
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. B. Meyer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meyer, H.B. Nucleon structure on the lattice. Eur. Phys. J. Spec. Top. 198, 49–64 (2011). https://doi.org/10.1140/epjst/e2011-01482-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2011-01482-3

Keywords

Search

Navigation