From chiral quark dynamics with Polyakov loop to the hadron resonance gas model

Abstract

Abstract. Chiral quark models with Polyakov loop at finite temperature have been often used to describe the phase transition. We show how the transition to a hadron resonance gas is realized based on the quantum and local nature of the Polyakov loop.

Polyakov loop, hadron resonance gas model and thermodynamics of QCD

“…Quantization of the model would produce the energy levels ∆ hα to be used in Eq. (8), as explained in [38]. This completes the connection with the HRG model for the Polyakov loop [8].…”

“…2 (right). The conclusion is that one needs many more states than for the trace anomaly [8,23,7]. This suggests using quark model spectra for [hq] and [hqq] color singlet states with one heavy h = c, b quark and the remaining light quarks q = u, d, s. This study was performed in [8,24].…”

Polyakov loop in various representations in the confined phase of QCD

“…[37]. Thus, there is at present no model where i) the HRG model is reproduced at low temperatures and ii) the confinement-chiral crossover transition observed on the lattice is reproduced [27,54,55]. In the present paper we focus on features at low temperatures, leaving possible extensions for the deconfined phase for future work.…”

The hadron resonance gas model: thermodynamics of QCD and Polyakov loop

“…2 (right). The conclusion is that one needs many more states than for the trace anomaly [8,23,7]. This suggests using quark model spectra for [h q] and [hqq] color singlet states with one heavy h = c, b quark and the remaining light quarks q = u, d, s. This study was performed in [8,24].…”