Borel Resummation of the Perturbative Free Energy of Hot Yang-Mills Theory

Abstract

The divergent perturbative expansion of the free-energy density of thermal SU(3) gauge theory is resummed into a rapidly convergent series using a novel, variational, implementation of the method of conformal mapping of the corresponding Borel series. The resummed result differs significantly from non-perturbative lattice simulations and the discrepancy is attributed to the presence of a pole on the positive axis of the Borel plane. The position of that pole is determined numerically and the difference between the lattice data and the resummed series is related to a phenomenological bag `constant'.

Revised, Journal version,11 pages Latex, 7 figures

References in corpus (5)

• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• The entropy of the QCD plasma
• Equation of state for pure SU(3) gauge theory with renormalization group improved action
• How to resum long-distance contributions to the QCD pressure?
• Lattice QCD at Finite Temperature and Density

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• HTL Perturbation Theory to Two Loops
• On the Apparent Convergence of Perturbative QCD at High Temperature
• Two-loop HTL Thermodynamics with Quarks
• Valence quarks in the QCD plasma: quark number susceptibilities and screening
• Convergence of Eigenvector Continuation
• Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit
• The Free Energy Of Hot Gauge Theories
• Pade-related resummations of the pressure of quark-gluon plasma by approximate inclusion of g**6-terms
• Obtaining Bounds on The Sum of Divergent Series in Physics
• Bounds On The Sum Of A Divergent Series