QCD strings and the thermodynamics of the metastable phase of QCD at large $N_c$

Details QCD strings and the thermodynamics of the metastable phase of QCD at large $N_c$ QCD strings and the thermodynamics of the metastable phase of QCD at large $N_c$

2006-02-03

arxiv.org/abs/hep-th/0602037v2

Phys.Lett. B637 (2006) 81-84

Physics

High Energy Physics

High Energy Physics - Theory

After this paper was published, the author became aware of an important early paper by Charles Thorn on the subject of the QCD

Scientific paper

10.1016/j.physletb.2006.04.035

The thermodyanmics of a metastable hadronic phase of QCD at large $N_C$ are related to properties of an effective QCD string. In particular, it is shown that in the large $N_c$ limit and near the maximum hadronic temperature, $T_H$, the energy density and pressure of the metastable phase scale as ${\cal E} \sim (T_H-T)^{-(D_\perp-6)/2}$ (for $D_\perp <6$) and $P \sim (T_H-T)^{-(D_\perp-4)/2}$ (for $D_\perp <4$) where $D_\perp$ is the effective number of transverse dimensions of the string theory. It is shown, however, that for the thermodynamic quantities of interest the limits $T \to T_H$ and $N_c \to \infty$ do not commute. The prospect of extracting $D_\perp$ via lattice simulations of the metastable hadronic phase at moderately large $N_c$ is discussed.

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