The pressure of hot QCD up to g^6 ln(1/g)

Details The pressure of hot QCD up to g^6 ln(1/g) The pressure of hot QCD up to g^6 ln(1/g)

2002-11-20

arxiv.org/abs/hep-ph/0211321v2

Phys.Rev. D67 (2003) 105008

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages. Small clarifications added. To appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.67.105008

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.

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