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Gauge Dependence of Perturbative QCD Predictions

  • R. Rączka
  • D. V. Shirkov
Conference paper

Abstract

Gauge dependence of RG-improved perturbative QCD results is studied on the basis of coupled system of nonlinear differential equations for running coupling α s and running gauge ā in two-loop approximation. It is shown that gauge dependence can essentially influence UV asymptotic behaviour of α s and even destroy its asymptotic freedom. Possible implications of this phenomena are discussed.

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References

  1. 1.
    See e.g. D.W. Duke and R.G. Roberts: Phys. Rep. 120, 277 (1985)ADSCrossRefGoogle Scholar
  2. 2.
    W. Celmaster and R.J. Gonsalves: Phys. Rev. D20, 1420 (1979),ADSGoogle Scholar
  3. 2a.
    W. Celmaster and D. Sivers: Phys. Rev. D23, 227 (1981)ADSGoogle Scholar
  4. 3.
    D. Espriu and R. Tarrach: Phys. Rev. D25 , 1073 (1982),ADSGoogle Scholar
  5. 3a.
    H. Caprasse and M. Hans: J. Math. Phys.,28, 2213 (1987)MathSciNetADSCrossRefMATHGoogle Scholar
  6. 4.
    a) Piotr A. Raczka and R. Raczka: Singular Gauge Dependence of the QCD Coupling Constant, preprint SISSA 27/EP/88, TriesteGoogle Scholar
  7. 4a.
    Phys. Rev. D in press b) D.V. Shirkov and O.V. Tarasov: JINR Rapid Comm. No.3 (29), 18–25 (1988), DubnaGoogle Scholar
  8. 5.
    A. Dhar and V. Gupta: Pramãna V7, 469 (1981)ADSCrossRefGoogle Scholar
  9. 5a.
    Phys. Lett. 101B, 432 (1981)ADSCrossRefGoogle Scholar
  10. 6.
    G.B. West: Phys. Rev. D30, 1349 (1984)ADSGoogle Scholar
  11. 7.
    P.S. Kurzepa and A. Bechler: Lett. Nuovo Cim. 39, 131 (1985)CrossRefGoogle Scholar
  12. 8.
    P. Pasqual and R. Tarrach: Nucl. Phys. B174, 123 (1980)ADSCrossRefGoogle Scholar
  13. 9.
    D.V. Shirkov and O.V. Tarasov: Gauge Dependence of UV Behaviour in Perturbative QCD. Proceedings of “QUARKS-88” Conference (Tbilisi, May 1988), ed. A. Tavkhelidze, World Scientific - to be publishedGoogle Scholar
  14. 10.
    See e.g. P. Pasqual and R. Tarrach: QCD: Renormalization for the practitioner, Lecture Notes in Physics (Springer, Berlin 1984)CrossRefGoogle Scholar
  15. 11.
    Piotr A. Raczka and R. Raczka: An Analysis of Renormalisation Scheme and Gauge Dependence of Perturbative QCD Predictions, preprint SISSA 109/EP/1988Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • R. Rączka
    • 1
  • D. V. Shirkov
    • 2
  1. 1.Institute of Nuclear StudiesWarsaw, Hoża 69Poland
  2. 2.Joint Institute for Nuclear ResearchDubnaUSSR

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