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arXiv · 0707.2013

Deconfinement Transition of AdS/QCD at ${\cal O}(α'^3)$

Rong-Gen Cai·Nobuyoshi Ohta
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Abstract

We study the confinement/deconfinement phase transition of holographic AdS/QCD models by using Ricci flat $AdS_5$ black holes up to ${\cal O}(α'^3)$, which corresponds to the $λ$ expansion correction in the dual field theory to $λ^{-3/2}$, where $λ$ is the 't Hooft coupling constant. We consider two cases: one is the hard-wall AdS/QCD model where a small radius region of the $AdS_5$ is removed; the other is the case where one of spatial coordinates for the $AdS_5$ space is compactified, resulting in Witten's QCD model in 2+1 dimensions. We find that in the hard-wall AdS/QCD model, the deconfinement temperature decreases when the $λ$ expansion corrections are taken into account, while in Witten's QCD model, the deconfinement transition always happens when the ratio of inverse temperature $β$ to the period $β_s$ of the compactified coordinate decreases to one, $β/β_s=1$, the same as the case without the ${\cal O}(α'^3)$ correction.

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Rong-Gen Cai, Nobuyoshi Ohta. 2007-09-24. Deconfinement Transition of AdS/QCD at ${\cal O}(α'^3)$. https://doi.org/10.1103/physrevd.76.106001

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