Flowing in Group Field Theory Space: a Review

被引：73

作者：

Carrozza, Sylvain ^{[1
]}

机构：

[1] Univ Bordeaux, LaBRI, UMR 5800, F-33400 Talence, France

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2016年 / 12卷

关键词：

group field theory; quantum gravity; quantum field theory; renormalization; EXACT RENORMALIZATION-GROUP; COLORED TENSOR-MODELS; QUANTUM-GRAVITY; GROUP EQUATIONS; 1/N EXPANSION;

D O I：

10.3842/SIGMA.2016.070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 >= 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.

引用

页数：30

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