论文标题
Hamilton-Jacobi配方的全息重新归一化，并产生的Ansatz
Holographic renormalization by Hamilton-Jacobi formulation with generated ansatz
论文作者
论文摘要
在对应的AD/CFT中，可以将产生功能的UV差异作为重力中的IR差异去除。这种几何过程被称为全息重新归一化。全息重归其化的标准方法基于Fefferman-Graham的扩张，该扩展严格且普遍，但在技术上很麻烦。为了改善技术，已经提出了不同的方法。在这里，我们基于汉密尔顿 - 雅各比（Hamilton-Jacobi）的重力制定，开发了一种替代方法来进行全息重归其化。与以前的方法相比，它的显着特征是精确的反对者的ansatz产生。我们将这种方法应用于几种典型的全息模型，这些模型始终如一地表现良好。
In AdS/CFT corresponding, the UV divergence of generating functional on the field theory can be removed as the IR divergence in the gravity. This geometric process is well known as holographic renormalization. The standard method of holographic renormalization is based on the Fefferman-Graham expansion, which is strict and universal but technically cumbersome. To improve the technique, different methods have been proposed. Here we develop an alternative approach to holographic renormalization based on the Hamilton-Jacobi formulation of gravity. Compared to previous approaches, its distinguishing feature is the generation of exact ansatz of counterterms. We apply this approach to several typical holographic models, which consistently performs well.
