Intermediate field representation for positive matrix and tensor interactions

DOI10.1007/s00023-019-00833-zzbMath1425.81074arXiv1609.05018OpenAlexW2969120402MaRDI QIDQ2273632

Publication date: 24 September 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05018

Mathematics Subject Classification ID

Model quantum field theories (81T10) Feynman diagrams (81T18) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Quantum measurement theory, state operations, state preparations (81P15) Summability and bounded fields of methods (40D20)

Related Items (1)

Constructive matrix theory for higher-order interaction

Cites Work

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On the fixed point equation of a solvable 4D QFT model
Universality and Borel summability of arbitrary quartic tensor models
New $1/N$ expansions in random tensor models
Constructive tensor field theory
Addendum to: A renormalizable 4-dimensional tensor field theory
Colored tensor models -- a review
Renormalizable models in rank ${d \geq 2}$ tensorial group field theory
How to resum Feynman graphs
Universality for random tensors
The multiscale loop vertex expansion
Colored triangulations of arbitrary dimensions are stuffed Walsh maps
Colored group field theory
The $1/N$ expansion of colored tensor models
Two- and three-loop beta function of non-commutative $\Phi_4^4$ theory
Vanishing of beta function of non-commutative $\Phi_4^4$ theory to all orders
Large $N$ limits in tensor models: towards more universality classes of colored triangulations in dimension $d\geq 2$
Enhancing non-melonic triangulations: a tensor model mixing melonic and planar maps
The $\beta $-function in duality-covariant non-commutative $f^{4}\phi^4$ -theory
Crystallisation moves
A renormalizable field theory: The massive Gross-Neveu model in two dimensions
A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
Constructive quantum field theory. The 1973 'Ettore Majorana' international school of mathematical physics
Note on the intermediate field representation of $\phi^{2k}$ theory in zero dimension
Renormalisation of $\phi^4$-theory on noncommutative $\mathbb R^{4}$ in the matrix base
A renormalizable 4-dimensional tensor field theory
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
Multi-critical tensor models and hard dimers on spherical random lattices
Constructive matrix theory for higher-order interaction
Analyticity results for the cumulants in a random matrix model
3D tensor field theory: renormalization and one-loop $\beta $-functions
Constructive $\phi^{4}$ field theory without tears
The complete $1/N$ expansion of colored tensor models in arbitrary dimension
Renormalization of tensorial group field theories: abelian $\mathrm U(1)$ models in four dimensions
Group field theory: an overview
Renormalization of a $\mathrm{SU}(2)$ tensorial group field theory in three dimensions
The $1/N$ expansion of tensor models beyond perturbation theory
Constructive tensor field theory: the ${T^4_3}$ model
TENSOR MODEL FOR GRAVITY AND ORIENTABILITY OF MANIFOLD
THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
The tensor track, III
Scaling behavior of three-dimensional group field theory
ASYMPTOTIC FREEDOM OF RANK 4 TENSOR GROUP FIELD THEORY
Constructive expansion for vector field theories I. Quartic models in low dimensions
An improvement of Watson’s theorem on Borel summability
Constructive tensorial group field theory II: the ${U(1)-T^4_4}$ model
Constructive tensorial group field theory I: The ${U(1)}$ -${T^4_3}$ model
Two- and four-loop β-functions of rank-4 renormalizable tensor field theories
Inductive approach to loop vertex expansion
Corrected loop vertex expansion for Φ24 theory
Tensor models and simplicial quantum gravity in $>2$-D

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