从对偶引力到大N热QCD：重夸克偶素势
Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential
摘要：
我们继续研究了具有基本味的强耦合大N量子色动力学在零温度和非零温度下的引力场。在零温度下的重力对偶捕获的对数运行的耦合常数在远红外和几乎共形，虽然强耦合，在紫外线的行为。规范理论的全部紫外完备性是在重力方面通过在我们以前的工作中所描述的红外几何上附加一个AdS帽来完成的。附加这样一个AdS帽是非常重要的，因为它相当于找到正确的插值几何和源，将我们从具有非零三形式通量的引力解带到另一个具有几乎为零的三形式通量的引力解。在本文中，我们给出了这样一个场景的具体实现，完成了我们在前面的论文中提出的方案。有这样一个背景的主要优点之一，除了提供所需的规范理论的双重描述，是没有朗道极点，因此紫外发散的威尔逊圈。最重的基本夸克反夸克对，这是类似于现实QCD中的重夸克偶素态的势，可以计算，并可以证明它们在大分离和零温度下的线性行为。在小的分离预期库仑行为似乎占主导地位。另一方面，在非零温度下，有趣的性质，如重夸克偶素类型的超导和熔化，显示出从我们的引力对偶出现。我们提供了一些讨论的熔化温度，并比较我们的结果与Charmonium光谱和晶格模拟。我们认为，尽管我们的建设大N的性质，某些模型独立的预测可以。
英文摘要：
We continue our study on the gravity duals for strongly coupled large N QCD with fundamental flavors both at zero and non-zero temperatures. The gravity dual at zero temperature captures the logarithmic runnings of the coupling constants at far IR and the almost conformal, albeit strongly coupled, behavior at the UV. The full UV completion of gauge theory is accomplished in the gravity side by attaching an AdS cap to the IR geometry described in our previous work. Attaching such an AdS cap is highly non-trivial because it amounts to finding the right interpolating geometry and sources that take us from a gravity solution with non-zero three-form fluxes to another one that has almost vanishing three-form fluxes. In this paper we give a concrete realisation of such a scenario, completing the program advocated in our earlier paper. One of the main advantage of having such a background, in addition to providing a dual description of the required gauge theory, is the absence of Landau poles and consequently the UV divergences of the Wilson loops. The potential for the heaviest fundamental quark anti-quark pairs, which are like the heavy quarkonium states in realistic QCD, can be computed and their linear behavior at large separations and zero temperature could be demonstrated. At small separations the expected Coulombic behavior appears to dominate. On the other hand, at non-zero temperatures interesting properties like heavy quarkonium type suppressions and melting are shown to emerge from our gravity dual. We provide some discussions of the melting temperature and compare our results with the Charmonium spectrum and lattice simulations. We argue that, in spite of the large N nature of our construction, certain model-independent predictions can be made.
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