On the QCD β-Function

  • R. V. Gavai
Part of the NATO ASI Series book series (NSSB, volume 159)

Abstract

After presenting evidence to indicate that the pseudo-fermion method is able to incorporate the effects of the dynamical fermions rather well, I describe our results for the β-function of QCD with three flavours of light dynamical quarks, obtained by using the improved ratio method. The β-function appears to have a dip at 6/g 2 ≃ 5.6 and the deviations from asymptotic scaling appear to be small already for 6/g 2 ≥ 5.3. The possible sources of the dip structure are discussed.

Keywords

Sugar 

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References

  1. 1.
    P. Hasenfratz, CERN preprint TH-3999/84 (1984), to be published in the proceedings of Erice Summer School 1984;R. Gupta, in the proceedings of Lattice Gauge Theory Symposium, Wuppertal, (1985).Google Scholar
  2. 2.
    M. Creutz, Phys. Rev. D23 (1981) 1815ADSGoogle Scholar
  3. 2a.
    R.W.B. Ardill, M. Creutz and K.J.M. Moriarty, Phys. Rev. D27 (1983) 1956.ADSGoogle Scholar
  4. 3.
    A. Hasenfratz, P. Hasenfratz, U. Heller and F. Karsch, Phys. Lett. 143B (1984) 193.ADSGoogle Scholar
  5. 4.
    K.C. Bowler, in this Procedings.Google Scholar
  6. 5.
    F. Fucito, E. Marinari, G. Parisi and C. Rebbi, Nucl. Phys. B180 [FS2](1981) 369.MathSciNetADSCrossRefGoogle Scholar
  7. 6.
    R.V. Gavai, A. Gocksch and U. Heller, Brookhaven preprint BNL-38449, Santa Barbara preprint NSF-ITP-86-89, Nucl. Phys. B (in press).Google Scholar
  8. 7.
    M. Fukugita and A. Ukawa, Phys. Rev. Lett 57 (1986) 503.ADSCrossRefGoogle Scholar
  9. 8.
    J. Poloyni, H.W. Wyld, J. Kogut, J. Shigemitsu, and D.K. Sinclair, Phys. Rev. Lett 53 (1984)644.ADSCrossRefGoogle Scholar
  10. 9.
    R.V. Gavai, Nucl. Phys. B269 (1986) 530.ADSCrossRefGoogle Scholar
  11. 10.
    D.J. Scalapino and R.L. Sugar, Phys. Rev. Lett. 46 (1981) 519.MathSciNetADSCrossRefGoogle Scholar
  12. 11.
    R.V. Gavai and F. Karsch, Phys. Rev. Lett 57 (1986) 40.ADSCrossRefGoogle Scholar
  13. 12.
    S.W. Otto and J.D. Stack, Phys. Rev. Lett. 52 (1984) 2328.ADSCrossRefGoogle Scholar
  14. 13.
    K.C. Bowler et al., Nucl. Phys. B257 (1985) 155.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • R. V. Gavai
    • 1
  1. 1.Theory GroupTata Institute of Fundamental ResearchBombayIndia

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