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Intermediate field representation for positive matrix and tensor interactions (Q2273632)

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Language	Label	Description	Also known as
English	Intermediate field representation for positive matrix and tensor interactions	scientific article

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scholarly article

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Intermediate field representation for positive matrix and tensor interactions (English)

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Vincent Rivasseau

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Annales Henri Poincaré

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publication date

24 September 2019

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full work available at URL

https://arxiv.org/abs/1609.05018

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MaRDI profile type

MaRDI publication profile

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Constructive quantum field theory. The 1973 'Ettore Majorana' international school of mathematical physics

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A renormalizable field theory: The massive Gross-Neveu model in two dimensions

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The tensor track, III

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A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY

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Group field theory: an overview

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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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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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Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\)

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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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Constructive tensor field theory

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Scaling behavior of three-dimensional 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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Analyticity results for the cumulants in a random matrix model

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Constructive \(\phi^{4}\) field theory without tears

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How to resum Feynman graphs

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Corrected loop vertex expansion for Φ24 theory

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Inductive approach to loop vertex expansion

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Constructive expansion for vector field theories I. Quartic models in low dimensions

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

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Constructive tensorial group field theory I: The ${U(1)}$ -${T^4_3}$ model

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Constructive tensorial group field theory II: the ${U(1)-T^4_4}$ model

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The multiscale loop vertex expansion

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Multi-critical tensor models and hard dimers on spherical random lattices

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Colored triangulations of arbitrary dimensions are stuffed Walsh maps

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

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Constructive matrix theory for higher-order interaction

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An improvement of Watson’s theorem on Borel summability

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Crystallisation moves

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

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Identifiers

zbMATH Open document ID

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10.1007/s00023-019-00833-z

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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