Renormalization Group Summation and the Free Energy of Hot QCD

Abstract

Using an approach developed in the context of zero-temperature QCD to systematically sum higher order effects whose form is fixed by the renormalization group equation, we sum to all orders the leading log (LL) and next-to-leading log (NLL) contributions to the thermodynamic free energy in hot QCD. While the result varies considerably less with changes in the renormalization scale than does the purely perturbative result, a novel ambiguity arises which reflects the strong scheme dependence of thermal perturbation theory.

7 pages REVTEX4, 2 figures; v2: typos corrected

References in corpus (1)

• Resummations of free energy at high temperature

Cited by in corpus (9)

• On the Apparent Convergence of Perturbative QCD at High Temperature
• Higher derivative corrections to near-extremal black holes in type IIB supergravity
• Renormalization Scheme Dependence in a QCD Cross Section
• Renormalization Scheme Dependence with Renormalization Group Summation
• Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics
• Summation of Higher Order Effects using the Renormalization Group Equation
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• The Renormalization Group with Exact beta-Functions
• Transmutation of Scale Dependence into Truncation Uncertainty via RG-Improvement of the $R(s)$ Series