23 pages, 2 figuresWe consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected correlations of the model. The Borel summability holds uniformly in the coupling constant, as long as the latter belongs to a cardioid like domain of the complex plane, avoiding the negative real axis
Borel summability of any renormalizable euclidean field theory which is planar, asymptotically free,...
In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulke...
Invariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models are investigated. The ex...
23 pages, 2 figuresWe consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prov...
23 pages, 2 figuresInternational audienceWe consider a quartic O(N)-vector model. Using the Loop Ver...
We extend the proof of Borel summability of melonic quartic ten-sor models to tensor models with arb...
We construct cumulants up to an arbitrary order of a vector model perturbed by a quartic term. The m...
International audienceThis paper is the first of a series aiming to use the loop vertex expansion (L...
This paper is the first of a series aiming at proving rigorously the analyticity and the Borel summa...
We consider the 0-dimensional quartic $O(N)$ vector model and present a complete study of the partit...
International audienceNous étendons l’étude de modèles de tenseurs quartiques meloniques aux modèles...
International audienceWe study the double scaling limit of the O(N)$^{3}$-invariant tensor model, in...
International audienceA SYK–like model close to the colored tensor models has recently been proposed...
Borel summability of any renormalizable euclidean field theory which is planar, asymptotically free,...
In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulke...
Invariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models are investigated. The ex...
23 pages, 2 figuresWe consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prov...
23 pages, 2 figuresInternational audienceWe consider a quartic O(N)-vector model. Using the Loop Ver...
We extend the proof of Borel summability of melonic quartic ten-sor models to tensor models with arb...
We construct cumulants up to an arbitrary order of a vector model perturbed by a quartic term. The m...
International audienceThis paper is the first of a series aiming to use the loop vertex expansion (L...
This paper is the first of a series aiming at proving rigorously the analyticity and the Borel summa...
We consider the 0-dimensional quartic $O(N)$ vector model and present a complete study of the partit...
International audienceNous étendons l’étude de modèles de tenseurs quartiques meloniques aux modèles...
International audienceWe study the double scaling limit of the O(N)$^{3}$-invariant tensor model, in...
International audienceA SYK–like model close to the colored tensor models has recently been proposed...
Borel summability of any renormalizable euclidean field theory which is planar, asymptotically free,...
In this talk we briefly report the recent work on the construction of the 2-dimensional Grosse-Wulke...
Invariant correlation functions for ${\rm SO}(1,N)$ hyperbolic sigma-models are investigated. The ex...