The Pressure of hot QCD up to g6 ln(1/g)

Nov, 2002
16 pages
Published in:
  • Phys.Rev.D 67 (2003) 105008
e-Print:
Report number:
  • CERN-TH-2002-334,
  • HIP-2002-62-TH,
  • MIT-CTP-3325

Citations per year

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Abstract:
The free energy density, or pressure, of QCD has at high temperatures an expansion in the coupling constant g, known so far up to order g^5. We compute here the last contribution which can be determined perturbatively, g^6 ln(1/g), by summing together results for the 4-loop vacuum energy densities of two different three-dimensional effective field theories. We also demonstrate that the inclusion of the new perturbative g^6 ln(1/g) terms, once they are summed together with the so far unknown perturbative and non-perturbative g^6 terms, could potentially extend the applicability of the coupling constant series down to surprisingly low temperatures.
  • 05.70.Ce
  • 12.38.Bx
  • 11.15.Bt
  • 11.10.Wx
  • fermion: flavor
  • gauge field theory: SU(N)
  • temperature: high
  • energy: density
  • pressure
  • regularization: dimensional