Renormalizable Tensor Field Theories

Abstract

Extending tensor models at the field theoretical level, tensor field theories are nonlocal quantum field theories with Feynman graphs identified with simplicial complexes. They become relevant for addressing quantum topology and geometry in any dimension and therefore form an interesting class of models for studying quantum gravity. We review the class of perturbatively renormalizable tensor field theories and some of their features.

Based on the talk Tensor Models and Renormalization given at the International Congress on Mathematical Physics, ICMP2015, 27th July - 1st August, 2015, Santiago de Chile, Chile

References in corpus (3)

• Random tensor models in the large N limit: Uncoloring the colored tensor models
• Functional Renormalisation Group analysis of a Tensorial Group Field Theory on ${\mathbb{R}}^3$
• Why are tensor field theories asymptotically free?

Cited by in corpus (6)

• Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four
• Continuous point symmetries in Group Field Theories
• Surgery in colored tensor models
• Correlation functions of $\mathrm{U}(N)$-tensor models and their Schwinger-Dyson equations
• Tensor Field Theories: Renormalization and Random Geometry
• Can we make sense out of "Tensor Field Theory"?