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arXiv 1809.07730hep-phhep-th
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AdS/QCD中的甘精球和去封闭温度

Glueballs and deconfinement temperature in AdS/QCD

S. S. Afonin, A. D. Katanaeva

摘要:

我们提出了一种估计自底向上全息模型中解禁闭温度的方法。AdS/QCD中的退禁闭与Hawking-Page相变有关,其中临界Hawking温度与规范理论中的退禁闭温度一致。后者的数值估计是唯一可能的,当一个$5D$双模型的参数是预先确定的,从其他物理方面的一致性,标准的,提供了一个描述的QCD共振。在最简单的AdS/QCD模型中,固定参数的传统方法是再现$ρ$介子的质量或$ρ$激发的近似径向Regge轨迹的斜率。受斜率值起源于胶子动力学的一般思想的启发,我们提出了利用标量胶子球的轨迹来计算解禁闭温度。我们考虑几个全息模型,并使用最近的想法等谱潜力,使我们的方法的相关性的额外检查。结果表明,不同的模型从一个等谱家庭(即模型导致相同的预测具有固定的量子数的强子的光谱)导致不同的预测的解除禁闭温度。这种差异被发现是相当小的标量胶球通道,但非常大的矢量介子通道。在前一种情况下观察到的稳定性显然有利于选择胶球通道的热力学预测AdS/QCD模型。对于一个平衡的方法,我们认为,无论是假设$f_0(1500)$有一个主要的组成部分,$0^{++}$胶球或接受的想法,在径向Regge轨迹的轻非奇异矢量介子的普遍性,可以重现的解禁闭温度的结果在非动力学夸克的背景下,在晶格模拟之前获得的。

英文摘要:

We put forward an alternative way to estimate the deconfinement temperature in bottom-up holographic models. The deconfinement in AdS/QCD is related to the Hawking-Page phase transition, in which the critical Hawking temperature is identified with the deconfinement one in the gauge theory. The numeric estimation of the latter is only possible when the parameters of a $5D$ dual model are previously determined from consistency with other physical aspects, standardly, providing a description of the QCD resonances. The traditional way to fix parameters in the simplest AdS/QCD models is to reproduce the mass of the $ρ$ meson or the slope of the approximate radial Regge trajectory of the $ρ$ excitations. Motivated by a general idea that the slope value originates in gluodynamics, we propose calculating the deconfinement temperature using the trajectory of scalar glueballs. We consider several holographic models and use the recent idea of isospectral potentials to make an additional check of the relevance of our approach. It is demonstrated that different models from an isospectral family (i.e. the models leading to identical predictions for spectrum of hadrons with fixed quantum numbers) result in different predictions for the deconfinement temperature. This difference is found to be quite small in the scalar glueball channel but very large in the vector meson channel. The observed stability in the former case clearly favours the choice of the glueball channel for thermodynamic predictions in AdS/QCD models. For a balanced approach, we argue that either assuming $f_0(1500)$ to have a dominating component of $0^{++}$ glueball or accepting the idea of the universality in the radial Regge trajectories of light non-strange vector mesons one can reproduce the results for the deconfinement temperature obtained before in the lattice simulations in the background of non-dynamical quarks.

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