Flowing in Group Field Theory Space: a Review

Symmetry Integrability and Geometry-Methods and Applications

article

Sylvain Carrozza¹ 

[1] Université Bordeaux

关键词: group field theory;    quantum gravity;    quantum field theory;    renormalization;   

DOI  :  10.3842/SIGMA.2016.070

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown