Resummations of free energy at high temperature

Abstract

We discuss resummation strategies for free energy in quantum field theories at nonzero temperatures T. We point out that resummations should be performed for the short- and long-distance parts separately in order to avoid spurious interference effects and double-counting. We then discuss and perform Pade resummations of these two parts for QCD at high T. The resummed results are almost invariant under variation of the renormalization and factorization scales. We perform the analysis also in the case of the massless scalar ${\varphi }^4$ theory.

16 pages, revtex4, 15 eps-figures; minor typographic errors corrected; the version as it appears in Phys.Rev.D

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Cited by in corpus (13)

• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Advances in perturbative thermal field theory
• Resummation in Hot Field Theories
• On the Apparent Convergence of Perturbative QCD at High Temperature
• Four-loop vacuum energy density of the SU(N_c) + adjoint Higgs theory
• Four-loop pressure of massless O(N) scalar field theory
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Renormalization Group Summation and the Free Energy of Hot QCD
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• Treating divergence in quark matter by using energy projectors
• Method for comparing finite temperature field theory results with lattice data
• Properties of the Free Energy Density Using the Principle of Maximum Conformality