QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization

DOI10.1063/5.0158724arXiv2305.06136MaRDI QIDQ6203730

Joseph Ben Geloun, Andreas G. A. Pithis, Johannes Thürigen

Publication date: 8 April 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.06136

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum cosmology from group field theory condensates: a review
• Colored tensor models -- a review
• Renormalizable models in rank \({d \geq 2}\) tensorial group field theory
• The complete 1/\(N\) expansion of a SYK-like tensor model
• Colored group field theory
• A generalization of the Virasoro algebra to arbitrary dimensions
• Intersection theory on the moduli space of curves and the matrix Airy function
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• Critical exponents from optimised renormalisation group flows
• Flowing to the continuum limit in tensor models for quantum gravity
• Functional renormalisation group approach for tensorial group field theory: a rank-3 model
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• Universal critical behavior in tensor models for four-dimensional quantum gravity
• The nonperturbative functional renormalization group and its applications
• (No) phase transition in tensorial group field theory
• The spin-foam approach to quantum gravity
• 3D tensor field theory: renormalization and one-loop \(\beta \)-functions
• There are no Goldstone bosons in two dimensions
• Group field theory: an overview
• Phase transitions in TGFT: functional renormalization group in the cyclic-melonic potential approximation and equivalence to \(\mathrm{O}(N)\) models
• Renormalization group flows between Gaussian fixed points
• THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
• Functional renormalization group approach for tensorial group field theory: a rank-6 model with closure constraint
• An Introduction to the Nonperturbative Renormalization Group
• Group field theory for quantum gravity minimally coupled to a scalar field
• An introduction to the SYK model
• Towards background independent quantum gravity with tensor models
• Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
• Asymptotic safety in three-dimensional SU(2) group field theory: evidence in the local potential approximation
• An SYK-like model without disorder
• Symmetry breaking.
• Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models

This page was built for publication: QFT with tensorial and local degrees of freedom: Phase structure from functional renormalization