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Infrared exponents and the running coupling of Landau gauge QCD and their relation to confinement

  • R. AlkoferEmail author
  • C. S. Fischer
  • L. von Smekal
Article

Abstract.

The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo-Ojima confinement criterion and the Gribov-Zwanziger horizon condition result from quite general properties of the ghost Dyson-Schwinger equation. The numerical solutions for the gluon and ghost propagators obtained from a truncated set of Dyson-Schwinger equations provide an explicit example for the anticipated infrared behaviour. The results are in good agreement with corresponding lattice data obtained recently. The resulting running-coupling approaches a fix point in the infrared, \(\alpha(0) = 8.92/N_c\). Two different fits for the scale dependence of the running coupling are given and discussed.

Keywords

Ghost General Property Lattice Data Scale Dependence Landau Gauge 
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References

  1. 1.
    T. Kugo, I. Ojima, Prog. Theor. Phys. Suppl. 66, 1 (1979).Google Scholar
  2. 2.
    V.N. Gribov, Nucl. Phys. B 139, 1 (1978).CrossRefGoogle Scholar
  3. 3.
    D. Zwanziger, Nucl. Phys. B 364, 127 (1991)MathSciNetGoogle Scholar
  4. 4.
    T. Kugo, in Proceedings of the International Symposium on the BRS symmetry, Kyoto, Sep. 18-22, 1995, edited by M. Abe, N. Nakanishi, I. Ojima (Universal Academic Press, Tokyo, 1996), arXiv:hep-th/9511033.Google Scholar
  5. 5.
    R. Alkofer, L. von Smekal, Phys. Rep. 353, 281 (2001), arXiv:hep-ph/0007355.CrossRefMathSciNetzbMATHGoogle Scholar
  6. 6.
    P. Watson, R. Alkofer, Phys. Rev. Lett. 86, 5239 (2001), arXiv:hep-ph/0102332CrossRefGoogle Scholar
  7. 7.
    C. Lerche, L. von Smekal, Phys. Rev. D 65, 125006 (2002), arXiv:hep-ph/0202194.CrossRefGoogle Scholar
  8. 8.
    C.S. Fischer, R. Alkofer, H. Reinhardt, Phys. Rev. D 65, 094008 (2002), arXiv:hep-ph/0202195.CrossRefGoogle Scholar
  9. 9.
    C.S. Fischer, R. Alkofer, Phys. Lett. B 536, 177 (2002), arXiv:hep-ph/0202202.CrossRefzbMATHGoogle Scholar
  10. 10.
    L. von Smekal, R. Alkofer, A. Hauck, Phys. Rev. Lett. 79, 3591 (1997), arXiv:hep-ph/9705242CrossRefGoogle Scholar
  11. 11.
    D. Zwanziger, Phys. Rev. D 65, 094039 (2002), arXiv:hep-th/0109224.CrossRefGoogle Scholar
  12. 12.
    F.D. Bonnet, P.O. Bowman, D.B. Leinweber, A.G. Williams, Phys. Rev. D 62, 051501 (2000), arXiv:hep-lat/0002020.CrossRefGoogle Scholar
  13. 13.
    F.D. Bonnet, P.O. Bowman, D.B. Leinweber, A.G. Williams, J.M. Zanotti, Phys. Rev. D 64, 034501 (2001), arXiv:hep-lat/0101013.CrossRefGoogle Scholar
  14. 14.
    K. Langfeld, H. Reinhardt, J. Gattnar, Nucl. Phys. B 621, 131 (2002), arXiv:hep-ph/0107141CrossRefzbMATHGoogle Scholar
  15. 15.
    D. Zwanziger, Phys. Rev. D 67, 105001 (2003), arXiv:hep-th/0206053.CrossRefGoogle Scholar
  16. 16.
    R. Alkofer, C.S. Fischer, L. von Smekal, Acta Phys. Slovaca 52, 191 (2002), arXiv:hep-ph/0205125.Google Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Institute for Theoretical PhysicsUniversity of TübingenTübingenGermany
  2. 2.Institute for Theoretical Physics IIIUniversity of Erlangen-NürnbergErlangenGermany

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