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Random tensors and quantum gravity (Q739881)

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Language	Label	Description	Also known as
English	Random tensors and quantum gravity	scientific article

Statements

scholarly article

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Random tensors and quantum gravity (English)

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Vincent Rivasseau

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

11 August 2016

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full work available at URL

https://arxiv.org/abs/1603.07278

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zbMATH Keywords

renormalization

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tensor models

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quantum gravity

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MaRDI profile type

MaRDI publication profile

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Emergent models for gravity: an overview of microscopic models

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The tensor track, III

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Colored group field theory

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Colored tensor models -- a review

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Universality for random tensors

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The \(1/N\) expansion of colored tensor models

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The complete \(1/N\) expansion of colored tensor models in arbitrary dimension

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New \(1/N\) expansions in random tensor models

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Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps

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A graph-theoretical representation of PL-manifolds -- a survey on crystallizations

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Cataloguing PL 4-manifolds by gem-complexity

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Functional renormalisation group approach for tensorial group field theory: a rank-3 model

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Functional renormalization group approach for tensorial group field theory: a rank-6 model with closure constraint

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Polchinski’s exact renormalisation group for tensorial theories: Gaußian universality and power counting

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The tensor theory space

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A renormalizable 4-dimensional tensor field theory

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Addendum to: A renormalizable 4-dimensional tensor field theory

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Just renormalizable TGFT's on \(U(1)^d\) with gauge invariance

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Renormalization of tensorial group field theories: abelian \(\mathrm U(1)\) models in four dimensions

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Renormalization of a \(\mathrm{SU}(2)\) tensorial group field theory in three dimensions

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Renormalizable models in rank \({d \geq 2}\) tensorial group field theory

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3D tensor field theory: renormalization and one-loop \(\beta \)-functions

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Two- and four-loop β-functions of rank-4 renormalizable tensor field theories

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ASYMPTOTIC FREEDOM OF RANK 4 TENSOR GROUP FIELD THEORY

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The \(1/N\) expansion of tensor models beyond perturbation theory

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Universality and Borel summability of arbitrary quartic tensor models

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The multiscale loop vertex expansion

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Constructive tensor field theory: the \({T^4_3}\) model

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A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY

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Group field theory: an overview

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A new class of group field theories for first order discrete quantum gravity

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Radiative corrections in the Boulatov-Ooguri tensor model: the 2-point function

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Linearized group field theory and power-counting theorems

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Quantum Geometry

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Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base

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The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory

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Two- and three-loop beta function of non-commutative \(\Phi_4^4\) theory

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Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders

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Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory

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On the fixed point equation of a solvable 4D QFT model

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An application of gauge theory to four dimensional topology

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Counting tensor model observables and branched covers of the 2-sphere

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Colored triangulations of arbitrary dimensions are stuffed Walsh maps

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Critical behavior of colored tensor models in the large \(N\) limit

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Regular colored graphs of positive degree

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Double scaling in tensor models with a quartic interaction

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Melons are branched polymers

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Discrete renormalization group for \(\mathrm{SU}(2)\) tensorial group field theory

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Some classes of renormalizable tensor models

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Combinatorial Hopf algebraic description of the multi-scale renormalization in quantum field theory

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Combinatorial Hopf algebra for the Ben Geloun-Rivasseau tensor field theory

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Quantum Gravity

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Tensorial Methods and Renormalization in Group Field Theories

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Renormalization of a tensorial field theory on the homogeneous space<i>SU</i>(2)/<i>U</i>(1)

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Ward–Takahashi identities for the colored Boulatov model

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On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov–Ooguri models

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Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation

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Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2016.069

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:739881

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