Illustrated study of the semiholographic nonperturbative framework
Illustrated study of the semiholographic nonperturbative framework
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DOI：
10.1103/physrevd.95.066017
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发表时间：
2017-03-29
影响因子：
5
通讯作者：
Mukhopadhyay, Ayan
中科院分区：
文献类型：
--
作者：
Banerjee, Souvik;Gaddam, Nava;Mukhopadhyay, Ayan
半全息被认为是一种有效的非微扰理论框架，它可以将微扰效应和非微扰效应联合收割机一致地结合在一起。假设强耦合非微扰扇区在大N极限下具有经典引力理论形式的全息对偶，微扰场决定引力边界条件。在这项工作中，我们追求这个框架的基本推导，特别是微扰物理学本身如何确定红外线的全息对偶，以及微扰和全息扇区之间的相互作用。我们首先证明了这两个部门之间的相互作用可以通过一个保守的本地能量动量张量的存在下，整个系统的软硬耦合常数的约束。作为一个例子，我们建立了一个双全息玩具理论，其中紫外和红外部门是强耦合和全息与不同的经典引力波。在这种结构中，要求一个适当的胶合可以治愈各自的几何形状的奇异性（测地不完整性）导致我们确定的参数的IR理论和软硬耦合的UV理论。软硬耦合的高能标度行为是状态无关的，但它们的运行结果是状态相关的。我们讨论我们的方法可以适应QCD的半全息框架的建设。
Semiholography has been proposed as an effective nonperturbative framework which can consistently combine perturbative and nonperturbative effects for theories like QCD. It is postulated that the strongly coupled nonperturbative sector has a holographic dual in the form of a classical gravity theory in the large N limit, and the perturbative fields determine the gravitational boundary conditions. In this work, we pursue a fundamental derivation of this framework particularly showing how perturbative physics by itself can determine the holographic dual of the infrared, and also the interactions between the perturbative and the holographic sectors. We firstly demonstrate that the interactions between the two sectors can be constrained through the existence of a conserved local energy-momentum tensor for the full system up to hard-soft coupling constants. As an illustration, we set up a biholographic toy theory where both the UV and IR sectors are strongly coupled and holographic with distinct classical gravity duals. In this construction, the requirement that an appropriate gluing can cure the singularities (geodetic incompleteness) of the respective geometries leads us to determine the parameters of the IR theory and the hard-soft couplings in terms of those of the UV theory. The high energy scale behavior of the hard-soft couplings is state-independent but their runnings turn out to be state-dependent. We discuss how our approach can be adapted to the construction of the semiholographic framework for QCD.