Quantum Gravity and Renormalization: The Tensor Track

Abstract

We propose a new program to quantize and renormalize gravity based on recent progress on the analysis of large random tensors. We compare it briefly with other existing approaches.

18 pages, 1 figure

Cited by in corpus (20)

• Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
• How to Resum Feynman Graphs
• Continuum limit in matrix models for quantum gravity from the Functional Renormalization Group
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Closed equations of the two-point functions for tensorial group field theory
• Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation
• Quasi-local holographic dualities in non-perturbative 3d quantum gravity
• Generalized constructive tree weights
• Gauge theories on quantum spaces
• Universal critical behavior in tensor models for four-dimensional quantum gravity
• Loop Vertex Expansion for Higher Order Interactions
• Parametric Representation of Rank d Tensorial Group Field Theory: Abelian Models with Kinetic Term ${\sum }_s|p_s|+\mu$
• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Configuration space for quantum gravity in a locally regularized path integral
• Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
• Editorial for the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms"
• Genus dependence of the number of (non-)orientable surface triangulations
• Can we make sense out of "Tensor Field Theory"?