Two-loop perturbative corrections to the thermal effective potential in gluodynamics

Abstract

The thermodynamics of pure glue theories can be described in terms of an effective action for the Polyakov loop. This effective action is of the Landau-Ginzburg type and its variables are the angles parametrizing the loop. In this paper we compute perturbative corrections to this action. Remarkably, two-loop corrections turn out to be proportional to the one-loop action, independent of the eigenvalues of the loop. By a straightforward generalization of the 't Hooft coupling this surprisingly simple result holds for any of the classical and exceptional groups.

32 pages, 4 figures. title changed. some details added in Sec. II. typos corrected. final version in PRD

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• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Collisional energy loss above the critical temperature in QCD
• Two-loop perturbative corrections to the constrained effective potential in thermal QCD
• Bose-Fermi cancellations without supersymmetry
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• Free energy of a Holonomous Plasma
• Effective models of a semi-quark gluon plasma
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Conundrum for the free energy of a holonomous gluonic plasma at cubic order
• Collisional energy loss of a heavy quark in a semiquark-gluon plasma
• Resummed Gluon Propagator and Debye Screening Effect in a Holonomous Plasma
• Real-time hard-thermal-loop gluon self-energy in a semiquark-gluon plasma
• Deconfinement in the presence of a strong magnetic field
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Wilson loops in the Hamiltonian formalism
• Caloron correction to the effective potential in thermal gluodynamics
• Suppression of the jet quenching parameter near the critical temperature