The Powers of Deconfinement

Abstract

The trace anomaly of gluodynamics encodes the breakdown of classical scale invariance due to interactions around the deconfinement phase transition. While it is expected that at high temperatures perturbation theory becomes applicable we show that current lattice calculations are far from the perturbative regime and are dominated instead by inverse even power corrections in the temperature, while the total perturbative contribution is estimated to be extremely small and compatible with zero within error bars. We provide an interpretation in terms of dimension-two gluon condensate of the dimensionally reduced theory which value agrees with a similar analysis of power corrections from available lattice data for the renormalized Polyakov loop and the heavy quark-antiquark free energy in the deconfined phase of QCD.

To appear in the proceedings of 14th High-Energy Physics International Conference in Quantum Chromodynamics (QCD 08), Montpellier, France, 7-12 Jul 2008

References in corpus (17)

• Thermodynamics of SU(3) Lattice Gauge Theory
• The pressure of hot QCD up to g^6 ln(1/g)
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Static quark anti-quark free energy and the running coupling at finite temperature
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Resummation in Hot Field Theories
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• Fuzzy Bags and Wilson Lines
• Power corrections in the quark-antiquark potential at finite temperature
• Low-Energy Theorems for Gluodynamics at Finite Temperature
• Nonperturbative vacuum and condensates in QCD below thermal phase transition
• QCD Pressure and the Trace Anomaly
• Pion electromagnetic form factor, perturbative QCD, and large-Nc Regge models
• Nonperturbative contributions to the QCD pressure
• Trace Anomaly and dimension two gluon condensate above the phase transition
• Dynamical generation of the mass gap in QCD

Cited by in corpus (8)

• Connecting Polyakov Loops to the Thermodynamics of $SU(N_c)$ Gauge Theories Using the Gauge-String Duality
• Susceptibilities with multi-quark interactions in PNJL model
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• SVZ sum rules : 30 + 1 years later
• Correlations between perturbation theory and power corrections in QCD at zero and finite temperature
• High orders perturbation theory and dual models for Yang-Mills theories
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point