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arXiv 1707.04747hep-thgr-qchep-ph
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全息QCD热力学性质的奇异微扰理论

Singular perturbation theory for the thermodynamic properties of holographic QCD

Eugenio Megias, Manuel Valle

摘要:

在改进的全息QCD中,我们研究了具有两个参数的简单量子势的黑洞解的热力学性质。利用奇异摄动理论的技巧,我们得到了大黑洞和小黑洞两个区域中度规场和介子场的一致近似。这些技术导致在高温下的天真膨胀的reprodmation,提供了一个重要的理论改进与以前的文献中的结果。通过使用这种技术,它示出了如何在足够低的温度下的二次依赖性可以自然地出现在自由能。与格点数据的胶子动力学进行了比较。它也提供了一个估计的胶子凝聚在零温度下的值,这原来是在相当好的协议,在文献中接受的值从唯象研究QCD。

英文摘要:

We explore the thermodynamics of a black-hole solution in improved holographic QCD with a simple dilaton potential having two parameters. By applying techniques of singular perturbation theory, we get uniform approximations for the metric and the dilaton field in the two regimes of big and small black-holes. These techniques lead to a resummation of the naive expansion at high temperatures, providing an important theoretical improvement with respect to previous results in the literature. By using this technique, it is shown how a quadratic dependence at low enough temperatures can naturally appear in the free energy. A comparison with lattice data of gluodynamics is performed. It is provided as well an estimate of the value of the gluon condensate at zero temperature which turns out to be in quite good agreement with the accepted values in the literature from phenomenological studies of QCD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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