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arXiv 0707.2013hep-thgr-qchep-ph
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AdS/QCD在${\cal O}(α'^3)$上的脱嵌转变

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

Rong-Gen Cai, Nobuyoshi Ohta

摘要:

利用Ricci平坦$AdS_5$黑洞到${\cal O}(α'^3)$研究了全息AdS/QCD模型的禁闭/解除禁闭相变,这相当于对偶场论中$λ$展开修正到$λ^{-3/2}$,其中$λ$是't Hooft耦合常数.我们考虑两种情况:一种是去掉$AdS_5$的小半径区域的硬壁AdS/QCD模型,另一种是将$AdS_5$空间的一个空间坐标紧致化,得到2+1维的Witten QCD模型.我们发现,在硬壁AdS/QCD模型中,考虑$λ$膨胀修正后,退禁闭温度降低,而在Witten的QCD模型中,退禁闭转变总是发生在反温度$β$与紧化坐标周期$β_s$之比$β/β_s=1$减为1时,与不考虑${\cal O}(α'^3)$修正的情况相同.

英文摘要:

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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