The Polyakov loop in various representations in the confined phase of QCD

Abstract

We analyze the expectation value of the Polyakov loop in the fundamental and higher representations in the confined phase of QCD. We discuss a hadronic like representation, and find that the Polyakov loop corresponds to a partition function in the presence of a colored source, explaining its real and positive character. Saturating the sum rules to intermediate temperatures requires a large number of multipartonic excited states. By using constituent or bag models, we find detailed low temperature scaling rules which depart from the Casimir scaling and could be tested by lattice calculations.

40 pages, 27 figs. One figure and further discussion added

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Cited by in corpus (14)

• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermodynamics of strongly interacting matter in a hybrid model
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Consistent approach to study gluon quasi-particles
• Polyakov loop spectroscopy in the confined phase of gluodynamics and QCD
• Heavy quark-antiquark free energy and thermodynamics of string-hadron avoided crossings
• Baryonic susceptibilities, quark-diquark models, and quark-hadron duality at finite temperature
• Fluctuations and correlations in thermal QCD
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Heavy $\bar{Q}Q$ free energy from hadronic states
• Quark-diquark models and baryonic fluctuations in QCD