Renormalizable models in rank \({d \geq 2}\) tensorial group field theory
DOI10.1007/s00220-014-2142-6zbMath1300.83043arXiv1306.1201OpenAlexW2047460393MaRDI QIDQ461417
Publication date: 10 October 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.1201
renormalizable modelsGrosse-Wulkenhaar modelnonlocal models in quantum topologytensorial group field theory
Topological characterizations of particular spaces (54F65) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Geometrodynamics and the holographic principle (83E05) Quantization of the gravitational field (83C45) Noncommutative geometry methods in quantum field theory (81T75) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Cites Work
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- Addendum to: A renormalizable 4-dimensional tensor field theory
- The Brownian map is the scaling limit of uniform random plane quadrangulations
- Colored tensor models -- a review
- Melons are branched polymers
- Colored group field theory
- The \(1/N\) expansion of colored tensor models
- Scaling limits of random planar maps with large faces
- Topological graph polynomials in colored group field theory
- Liouville quantum gravity and KPZ
- A generalization of the Virasoro algebra to arbitrary dimensions
- Critical behavior of colored tensor models in the large \(N\) limit
- Phase transition in dually weighted colored tensor models
- A polynomial of graphs on surfaces
- Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders
- Radiative corrections in the Boulatov-Ooguri tensor model: the 2-point function
- Intersection theory on the moduli space of curves and the matrix Airy function
- Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
- A renormalizable 4-dimensional tensor field theory
- The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
- The Brownian cactus. I: Scaling limits of discrete cactuses
- Just renormalizable TGFT's on \(U(1)^d\) with gauge invariance
- Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
- 3D tensor field theory: renormalization and one-loop \(\beta \)-functions
- The complete \(1/N\) expansion of colored tensor models in arbitrary dimension
- Counting tensor model observables and branched covers of the 2-sphere
- Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions
- Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions
- The \(1/N\) expansion of tensor models beyond perturbation theory
- TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
- THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
- A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
- TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
- The tensor track, III
- A REVIEW OF THE 1/N EXPANSION IN RANDOM TENSOR MODELS
- Lost in translation: topological singularities in group field theory
- A REVIEW OF THE LARGE N LIMIT OF TENSOR MODELS
- ON THE VOLUME CONJECTURE FOR CLASSICAL SPIN NETWORKS
- Course 3 Conformal random geometry
- Linearized group field theory and power-counting theorems
- Random Walks and Quantum Gravity in Two Dimensions
- Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
- Some classes of renormalizable tensor models
- Scaling limits of random trees and planar maps
- Extending the Tutte and Bollobás–Riordan polynomials to rank 3 weakly coloured stranded graphs
- Tensor models and simplicial quantum gravity in \(>2\)-D