The Free Energy Of Hot Gauge Theories

Abstract

The total perturbative contribution to the free-energy of hot SU(3) gauge theory is argued to lie significantly higher than the full result obtained by lattice simulations. This then suggests the existence of large non-perturbative corrections even at temperatures a few times above the critical temperature. Some speculations are then made on the nature and origin of the non-perturbative corrections. The analysis is then carried out for quantum chromodynamics, $SU(N_c)$ gauge theories, and quantum electrodynamics, leading to a conjecture and one more speculation.

Revised Journal version;25 pages Latex and 11 .eps figures in separate file. Requires epsf.sty

References in corpus (9)

• Large N Field Theories, String Theory and Gravity
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• 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
• Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit
• Interplay Between Approximation Theory and Renormalization Group
• 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