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

الأصل · EN

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 g⁵. We compute here the last contribution which can be determined perturbatively, g⁶ 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 g⁶ ln(1/g) terms, once they are summed together with the so far unknown perturbative and non-perturbative g⁶ terms, could potentially extend the applicability of the coupling constant series down to surprisingly low temperatures.