标题： 在群场理论空间中的流动：综述 显示英文标题

标题： Flowing in group field theory space: a review

摘要： 我们提供对重整化方法和技巧最近在群场理论（GFTs）中的扩展的非技术性概述，GFTs 是一类组合上非局部的量子场论，它将矩阵模型推广到维度$d \geq 3$。 更准确地说，我们关注所谓的闭合约束 GFTs，这些理论与格点规范理论和量子引力自旋泡沫模型密切相关。 借助现代张量模型工具，已经揭示出丰富的可重整化理论景观。 我们回顾了目前对它们在微扰和非微扰层次上的重整化群流的理解。 显示英文摘要

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 modern 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.