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Constructive tensor field theory (Q308701)

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Language	Label	Description	Also known as
English	Constructive tensor field theory	scientific article

Statements

scholarly article

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Constructive tensor field theory (English)

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zbMATH Open document ID

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10.3842/SIGMA.2016.085

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Vincent Rivasseau

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

6 September 2016

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full work available at URL

https://arxiv.org/abs/1603.07312

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

constructive field theory

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renormalization

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tensor models

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MaRDI profile type

MaRDI publication profile

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Random tensors and quantum gravity

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THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS

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TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD

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Tensor models and simplicial quantum gravity in \(>2\)-D

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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 renormalizable 4-dimensional tensor field theory

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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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An improvement of Watson’s theorem on Borel summability

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The multiscale loop vertex expansion

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Scaling behavior of three-dimensional group field theory

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Universality and Borel summability of arbitrary quartic tensor models

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

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

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

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Analyticity results for the cumulants in a random matrix model

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The tensor track, III

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Divergence of perturbation theory for bosons

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Generalized constructive tree weights

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On the shortest spanning subtree of a graph and the traveling salesman problem

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How to resum Feynman graphs

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

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Renormalization of an abelian tensor group field theory: solution at leading order

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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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On the large order behavior of \(\Phi^4_4\)

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

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

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

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

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Loop vertex expansion for Φ2k theory in zero dimension

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Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension

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

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mardi Publication:308701

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