arXiv 1012.28812010-12-13hep-thhep-phnucl-th

从弦论到大N QCD

From string theory to large N QCD

Mohammed Mia

备注：: PhD Thesis, 175 pages, 28 figures

摘要：

我们提出了一个非共形规范理论的对偶引力，它在IR中具有对数耦合，但在远UV中几乎成为共形。该理论有物质的基本表示，非零温度和级联下的塞贝格对偶，可以描述的规范群的较低和较低的秩。我们概述了全息重整化的过程，并提出了一种机制，UV完成的规范理论通过修改的对偶几何在大径向距离。作为一个例子，我们构造了膜配置和源所需的附加Klebanov-Witten型几何在大r的Klebanov-Strassler型几何在小r。使用超引力描述的对偶几何，我们计算的热质量的一个基本的“夸克”在我们的理论随着规范理论等离子体的阻力和扩散系数。我们计算了规范理论的应力张量，并用公式表示了探针穿过介质时留下的尾流。计算了输运系数、剪切粘滞系数η及其与熵的比值η/s，最后说明了低温下大分离时“夸克”的禁闭是如何发生的。我们分类的最一般的对偶几何，在低温下产生线性约束，并显示如何夸克偶素状态可以在高温下熔化释放“夸克”。

英文摘要：

We propose the dual gravity of a non conformal gauge theory which has logarithmic running of couplings in the IR but becomes almost conformal in the far UV. The theory has matter in fundamental representation, non-zero temperature and under a cascade of Seiberg dualities, can be described in terms of gauge groups of lower and lower rank. We outline the procedure of holographic renormalization and propose a mechanism to UV complete the gauge theory by modifying the dual geometry at large radial distances. As an example, we construct the brane configuration and sources required to attach a Klebanov-Witten type geometry at large r to a Klebanov- Strassler type geometry at small r. Using the supergravity description for the dual geometry, we compute thermal mass of a fundamental 'quark' in our theory along with drag and diffusion coefficients of the gauge theory plasma. We compute the stress tensor of the gauge theory and formulate the wake a probe leaves behind as it traverses the medium. Transport coefficient shear viscosity η and its ratio to entropy η/s are calculated and finally we show how confinement of 'quarks' at large separation can occur at low temperatures. We classify the most general dual geometry that gives rise to linear confinement at low temperatures and show how quarkonium states can melt at high temperatures to liberate 'quarks'.

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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英文摘要：

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