论文标题
重力临界崩溃的重归其化组观点
Renormalization-group Perspective on Gravitational Critical Collapse
论文作者
论文摘要
在这项工作中，我们提出了极端黑洞（BH）作为新的重力崩溃的关键点。猜想是通过观察连续的自我相似性（CS）和离散的自我相似性（DSS）行为的行为，对极端黑洞时空的扰动行为，并将它们与Choptuik-type关键解决方案的相似特性进行比较。通过对极端黑洞进行分析扰动研究，我们明确表明，此处发现的DSS解决方案可以解释为重新归一化组（RG）极限循环，并且CSS和DSS方案之间的过渡是稳定和不稳定的固定点collide并移动到复杂平面的。我们认为，可以类似地解释球形对称引力崩溃中的DSS溶液。我们在具有RG限制周期的非重力系统中确定各种现象，包括DSS相关函数，相关长度和顺序参数的DSS缩放定律，这些定律在重力临界造成率中观察到。我们还讨论了引力Efimov效应的版本。
In this work, we propose extremal black holes (BH) as critical points of a new class of gravitational collapses. The conjecture is made by observing the Continuous Self Similarity (CSS) and Discrete Self Similarity (DSS) behaviours of perturbations of an extremal black hole spacetime and compare them to similar properties of Choptuik-type critical solutions. By performing analytical perturbation studies on extremal black holes, we explicitly show that the DSS solution found here can be interpreted as renormalization group (RG) limit cycles, and the transition between CSS and DSS regimes occurs as the stable and unstable fixed points collide and move to the complex plane. We argue that the DSS solutions found in spherically symmetric gravitational collapses can be similarly interpreted. We identify various phenomena in non-gravitational systems with RG limit cycles, including DSS correlation function, DSS scaling laws in correlation length and order parameters, which are observed in gravitational critical collapses. We also discuss a version of gravitational Efimov effect.
