Flowing in Group Field Theory Space: a Review

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Author: Carrozza, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147767
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Flowing in Group Field Theory Space: a Review / S. Carrozza // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 87 назв. — англ.

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 cons...