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.

Quark–hadron matter at finite temperature and density in a two-color PNJL model

“…The NJL model is further generalized by introducing the Polyakov loop to account for important thermodynamical aspects of color confinement [10][11][12]. This PNJL model is by now widely used for the discussion of quark-hadron matter at finite temperature and density [13][14][15][16][17]. The PNJL model results can be compared directly with lattice QCD at finite temperature and zero baryon density.…”

Thermodynamics of Resonant Scalars in AdS/CFT and implications for QCD

“…A fit of the lattice data with this formula, using a Δ (μ T ) = Δ HTL (μ T ), leads to b Δ = (3.57 ± 0.28), see [21]. This motivates the need of new methods to account for non perturbative effects.…”

“…However, in order to have a reliable extension of this duality to SU(N c ) Yang-Mills theory, the first task is to control the breaking of conformal invariance. See [6,21] for further details.…”

“…It was studied in [2,5,6,21] the possible existence and characterization of power corrections in the equation of state of gluodynamics. We show in Fig.…”

“…In addition, they seem to indicate the existence of power corrections in temperature in the deconfined phase that cannot be explained within a naive perturbative approach, see e.g. [4][5][6].…”