论文标题
基于重新归一化的组衍生出的新兴全息和基于弦理论的全息二重性的比较
Comparison between renormalization group derived emergent dual holography and string theory based holographic duality
论文作者
论文摘要
为了阐明RG衍生的全息双重场理论的数学结构，我们根据度量张量的ADM分解重写了基于字符串理论的传统全息有效场理论。这种比较使我们声称，RG衍生的全息双重二元场理论考虑了高衍生的曲率术语，并在基于字符串理论的常规使用的Einstein-Klein-Gordon理论中固定了量规，从而导致了广告（Anti-De sitter sitter spotter）的测量张量的RG流动。此外，我们将汉密尔顿 - 雅各比方程与基于字符串理论的常规双全息有效理论的有效IR壳作用与基于RG的全息偶性双场理论的有效IR壳作用进行了比较。事实证明，可以通过基于RG基于RG的新兴全息双重描述的IR边界有效作用来识别基于弦理论的双重全息的有效IR壳作用，其中Wilsonian RG变形程序可以被视为全息法的反向过程。这次演示使我们提出了一种有效的双全息场理论，具有差异不变性和较高的衍生曲率术语，其中新引入了IR边界条件，以阐明UV显微镜和IR宏观宏观自由度之间的深厚联系。
To clarify the mathematical structure of the RG-derived holographic dual field theory, we rewrite the string-theory based conventionally utilized dual holographic effective field theory based on the ADM decomposition of the metric tensor. This comparison leads us to claim that the RG-derived emergent holographic dual field theory takes into account higher-derivative curvature terms with gauge fixing in the string-theory based conventionally utilized Einstein-Klein-Gordon theory, giving rise to the RG flow of the metric tensor beyond the AdS (anti-de Sitter space) geometry. Furthermore, we compare the Hamilton-Jacobi equation for the effective IR on-shell action of the string-theory based conventionally utilized dual holographic effective theory with that of the RG-based holographic dual field theory. It turns out that the effective IR on-shell action of the string-theory based dual holography can be identified with the IR boundary effective action of the RG-based emergent holographic dual description, where the Wilsonian RG-transformation procedure may be regarded as an inverse process of the holographic renormalization. This demonstration leads us to propose an effective dual holographic field theory with the diffeomorphism invariance and higher derivative curvature terms, where the IR boundary condition is newly introduced to clarify the deep connection between UV microscopic and IR macroscopic degrees of freedom.
