arXiv 0901.24562009-01-16hep-th

QGP热力学和介子谱学与AdS/CFT

QGP thermodynamics and meson spectroscopy with AdS/CFT

Johanna Erdmenger, Matthias Kaminski, Felix Rust

备注：: 6 pages, 3 figures, prepared for the proceedings of the 8th Conference "Quark Confinement and the Hadron Spectrum", September 1st-6th 2008, Mainz, Germany; to appear in Proceedings of Science, based on a talk given by Felix Rust
发表信息：: PoS Confinement8:131,2008

摘要：

在这次演讲中，我们提出的应用程序的AdS/CFT对应强耦合系统在有限的温度和粒子密度。我们研究的模型包含由N=4的规范多重态描述的伴随物质，以及由N=2的超级杨-米尔斯理论的超多重态给出的基本物质。在某些方面，这些系统可以被认为是夸克-胶子等离子体的模型。在第一部分中，我们回顾了由这些全息模型得到的介子谱的一些性质。我们讨论了有限温度和粒子密度的影响，在这些弦理论的动机设置。特别是，我们发现在有限密度的相关谱函数的矢量介子峰的加宽。然而，我们没有观察到共振向较低频率的移动。此外，我们还分析了强耦合对重介子在介质中扩散的影响。为此，我们利用偶极相互作用的有效模型，这是有效的任意耦合强度的重夸克。我们计算的动量加宽-归一化的介质中的质量移动-和比较大的t Hooft耦合AdS/CFT的结果与微扰的结果弱耦合。我们发现，动量加宽减少在大的t Hooft耦合，导致弛豫时间增加。

英文摘要：

In this talk we present applications of the AdS/CFT correspondence to strongly coupled systems at finite temperature and particle density. The model we investigate contains adjoint matter described by the gauge multiplet of N=4, as well as fundamental matter given by the hypermultiplet of N=2 Super Yang-Mills theory. In some aspects these systems can be thought of as models for the quark-gluon plasma. In the first part we review some properties of meson spectra obtained from these holographic models. We discuss the implications of finite temperature and particle density in these string-theory motivated setups. In particular, we find a broadening of the vector meson peaks in the relevant spectral function at finite density. However, we do not observe a movement of the resonances to lower frequencies. Moreover, we analyze the effects of strong coupling on heavy meson diffusion in medium. To do so, we make use of an effective model with dipole interaction, which is valid for heavy quarks at arbitrary coupling strength. We calculate the momentum broadening -- normalized to the in-medium mass shift -- and compare the large 't Hooft coupling AdS/CFT result with a perturbative result for weak coupling. We find that the momentum broadening is reduced at large 't Hooft coupling, leading to increased relaxation time.

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