论文标题
在RG-Flow下快速争夺
Fast Scrambling under an RG-flow
论文作者
论文摘要
信息争夺的概念与系统的长期行为有关，因此与其红外动力学有关。在快速的扰乱者中，信息作为自由度数量的对数功能传播。通常，在RG-Flow下，由于C Theorem的结果融合了许多自由度，因此在IR中争先恐后的速度将变得更快。在本文中，我们考虑了一类全息量子场理论（QFT），它们与大量的伴随和基本问题强烈耦合，其中杂乱的速度在IR中减慢。这种情况会发生，因为从精确的意义上讲，与紫外线相比，IR插入了更多的自由度。对于通用的大型$ n $量规理论，我们还基于Callan-Symanzik方程来探索相应Lyapunov指数的一般扰动流。
The notion of information scrambling is tied to the long-time behaviour of a system and therefore is related to its infra-red dynamics. In fast scramblers, information spreads as a logarithmic function of the number of degrees of freedom. Ordinarily, under an RG-flow, scrambling will become faster in the IR since many degrees of freedom are integrated out, as a consequence of the c-theorem. In this article, we consider a class of Holographic quantum field theories (QFT), which are strongly coupled large $N$ gauge theories with large number of adjoint and fundamental matter, in which scrambling slows down in the IR. This happens since more degrees of freedom are inserted in the IR, compared to the UV, in a precise sense. For generic large $N$ gauge theories, we also explore general, perturbative flow features of the corresponding Lyapunov exponent, based on the Callan-Symanzik equation.
