Renormalizable Models in Rank ${d \geq 2}$ d ≥ 2 Tensorial Group Field TheoryRenormalizable Models in Rank $${d \geq 2}$$ d ≥ 2 Tensorial Group Field Theory

Joseph Ben Geloun

Communications in Mathematical PhysicsAug 22, 201483 citations

Renormalization in tensor Group Field Theory

Fabien Vignes-Tourneret

Mar 17, 20140 citations

Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions

Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau

We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that tensorial interactions up to degree 6 are just renormalizable without any anomaly. Our new models define the renormalizable TGFT version of the Boulatov model and provide therefore a new approach to quantum gravity in three dimensions. Among the many new technical results established in this paper are a general classification of just renormalizable models with gauge invariance condition, and in particular concerning properties of melonic graphs, the second order expansion of melonic two point subgraphs needed for wave-function renormalization.We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that tensorial interactions up to degree 6 are just renormalizable without any anomaly. Our new models define the renormalizable TGFT version of the Boulatov model and provide therefore a new approach to quantum gravity in three dimensions. Among the many new technical results established in this paper are a general classification of just renormalizable models with gauge invariance condition, and in particular concerning properties of melonic graphs, the second order expansion of melonic two point subgraphs needed for wave-function renormalization.

Mar 27, 2013110 citations

Renormalization in Tensorial Group Field Theories

Sylvain Carrozza

Frontiers of Fundamental Physics 14 (FFP14)Jan 1, 20140 citations

The Tensor Track VI: Field Theory on Random Trees and SYK on Random Unicyclic Graphs

Nicolas Delporte, Vincent Rivasseau

We review the paper [arXiv:1905.12783] and discuss some comments about SYK on random unicycle.

arXiv:2004.13744Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)Aug 18, 20208 citations

Critical exponents for a symmetric traceless tensor field theory model

T. C. Lubensky, Richard G. Priest

Physics Letters AJun 1, 197417 citations

Renormalizable Models in Rank

{d \geq 2}

d ≥ 2 Tensorial Group Field Theory