群场论空间中的流动
Flowing in Group Field Theory Space: a Review
摘要：
我们提供了一个非技术性的概述最近的扩展重整化方法和技术的群场论（GFT），一类组合非本地量子场论，广义矩阵模型的尺寸$d \geq 3$。更准确地说，我们关注的GFT与所谓的封闭约束，这是密切相关的格点规范理论和量子引力自旋泡沫模型。在最近的张量模型工具的帮助下，丰富的可重整化理论已经被揭开。我们回顾我们目前的理解，他们的重整化群流，在微扰和非微扰水平。
英文摘要：
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d \geq 3$. More precisely, we focus on GFTs with so-called closure constraint, which are closely related to lattice gauge theories and quantum gravity spin foam models. With the help of recent tensor model tools, a rich landscape of renormalizable theories has been unravelled. We review our current understanding of their renormalization group flows, at both perturbative and non-perturbative levels.
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