Phase transitions in TGFT: functional renormalization group in the cyclic-melonic potential approximation and equivalence to \(\mathrm{O}(N)\) models

DOI10.1007/JHEP12(2020)159MaRDI QIDQ2660277

Andreas G. A. Pithis, Johannes Thürigen

Publication date: 29 March 2021

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13588

zbMATH Keywords

renormalization groupnonperturbative effectsmodels of quantum gravityglobal symmetriestensorial group field theory (TGFT)

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Renormalization group methods applied to problems in quantum field theory (81T17) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Matrix models and tensor models for quantum field theory (81T32) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10) Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory (83-10)

Related Items (10)

Phantom-like dark energy from quantum gravity ⋮ Renormalization in combinatorially non-local field theories: the BPHZ momentum scheme ⋮ Effective dynamics of scalar cosmological perturbations from quantum gravity ⋮ Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models ⋮ Causality, unitarity and stability in quantum gravity: a non-perturbative perspective ⋮ QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization ⋮ On multimatrix models motivated by random noncommutative geometry. I: The functional renormalization group as a flow in the free algebra ⋮ (No) phase transition in tensorial group field theory ⋮ Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom ⋮ Emergent cosmology from quantum gravity in the Lorentzian Barrett-Crane tensorial group field theory model

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