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The running coupling at finite temperature

  • K. Enqvist
  • K. Kainulainen
Article

Abstract

We propose the ensemble averaged running coupling as the meaningful measure of the coupling strength of an equilibrium gas and consider its scaling behaviour. We show that the high temperature limit of the average coupling is obtained by keeping the temperature to the renormalization point ratio,T/μ, fixed. In hot QCD gas this implies asymptotic freedom and a beta function which is independent ofT up to two loops. In the MOM scheme a minimal sensitivity to temperature is obtained with the choice μ=2.6T.

Keywords

Field Theory Elementary Particle Quantum Field Theory Coupling Strength Temperature Limit 
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References

  1. 1.
    H. Matsumoto, Y. Nakano, H. Umezawa: Phys. Rev. D29 (1984) 1116Google Scholar
  2. 2.
    Y. Fujimoto, H. Yamada: Phys. Lett. B195 (1987) 231; ibid. Y. Fujimoto, H. Yamada: Phys. Lett. B200 (1988) 167Google Scholar
  3. 3.
    K. Enqvist, K. Kajantie: Mod. Phys. Lett. A2 (1987) 479; H. Nakkagawa, A. Niegawa, H. Yokota: Phys. Rev. D38 (1988) 2566Google Scholar
  4. 4.
    R. Baier, B. Pire, D. Schiff: Phys. Lett. B238 (1990) 367; Bielefeld preprint BI-TP 90/321 (1990); H. Nakkagawa, A. Niegawa, H. Yokota: Phys. Lett. B244 (1990) 63Google Scholar
  5. 5.
    H. Yamada: Z. Phys. C—Particles and Fields 41 (1988) 35; N.P. Landsman: Phys. Lett. B232 (1989) 240; Y. Fujimoto, H. Yamada: Phys. Lett. B212 (1988) 77; J. Antikainen, M. Chaichian, N.R. Pantoja, J.J. Salazar: Phys. Lett. B242 (1990) 412Google Scholar
  6. 6.
    D.J. Gross: In: Methods in field theory, p. 141; R. Balian, J. Zinn-Justin (eds.) Amsterdam: North-Holland, 1976; see also H. Yamada in [5]Google Scholar
  7. 7.
    D.R.T. Jones: Nucl. Phys. B75 (1974) 531; W. Caswell: Phys. Rev. Lett. 33 (1974) 244Google Scholar
  8. 8.
    R. Kobes: Phys. Rev. D42 (1990) 562Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • K. Enqvist
    • 1
  • K. Kainulainen
    • 1
  1. 1.NorditaCopenhagen ØDenmark

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