The $\mathcal{O}(g^6)$ coefficient in the thermodynamic potential of hot SU(N) Gauge Theories and MQCD

Abstract

The non-perturbative input necessary for the determination of the $\mathcal{O}(g^6)$ part of the weak coupling expansion of the free energy density for SU(2) and SU(3) gauge theories is estimated. Although the perturbative information completing the contribution to this order is missing, we give arguments that the magnetic fluctuations are dominated by screened elementary magnetic gluons.

15 pages, LaTeX2e File, 2 Encapsulated Postscript figures

References in corpus (7)

• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Free Energy of QCD at High Temperature
• The Free Energy of Hot Gauge Theories with Fermions Through g^5
• On the Mass Spectrum of the SU(2) Higgs Model in 2+1 Dimensions
• Gauge Boson Masses in the 3-d, SU(2) Gauge-Higgs Model
• 3-D lattice simulation of the electroweak phase transition at small Higgs mass
• Bound States in the Hot Electroweak Phase

Cited by in corpus (12)

• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• The pressure of hot QCD up to g^6 ln(1/g)
• How to resum long-distance contributions to the QCD pressure?
• Plaquette expectation value and gluon condensate in three dimensions
• The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
• 't Hooft and Wilson loop ratios in the QCD plasma
• Spatial 't Hooft loop to cubic order in hot QCD II
• Spatial 't Hooft loop to cubic order in hot QCD
• 3-d Lattice QCD Free Energy to Four Loops
• Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover
• Four loop stochastic perturbation theory in 3d SU(3)
• Gauge Invariance of Resummation Schemes: The QCD Partition Function