We extend the technique of constructive expansions to compute the connected functions of matrix models in a uniform way as the size of the matrix increases. This provides the main missing ingredient for a non-perturbative construction of the $\phi^{\star 4}_4$ field theory on the Moyal four dimensional space
Scalar field theories with quartic interaction are quantized on fuzzy S^2 and fuzzy S^2 × S^2 to obt...
22 pages, 10 figuresWe propose to treat the $\phi^4$ Euclidean theory constructively in a simpler wa...
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. a...
Dans la partie principale de cette these on considère la theorie euclidienne constructive des champs...
Constructive field theory can be considered as a reorganization of perturbation theory in a converge...
The main subject of this thesis is about a new method of constructive renormalization theory, called...
The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace ...
A new version of scale analysis and renormalization theory has been found on the non-commutative Moy...
Dans la partie principale de cette these on considère la theorie euclidienne constructive des champs...
20 pages, 6 figuresInternational audienceWe propose a new formalism for quantum field theory which i...
20 pages, 6 figuresInternational audienceWe propose a new formalism for quantum field theory which i...
The basic concepts of non-commutative probability theory are reviewed and applied to the large-N lim...
21 pages, 4 figures.International audienceWe prove that the self-interacting scalar field on the fou...
22 pages, 10 figuresWe propose to treat the $\phi^4$ Euclidean theory constructively in a simpler wa...
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. a...
Scalar field theories with quartic interaction are quantized on fuzzy S^2 and fuzzy S^2 × S^2 to obt...
22 pages, 10 figuresWe propose to treat the $\phi^4$ Euclidean theory constructively in a simpler wa...
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. a...
Dans la partie principale de cette these on considère la theorie euclidienne constructive des champs...
Constructive field theory can be considered as a reorganization of perturbation theory in a converge...
The main subject of this thesis is about a new method of constructive renormalization theory, called...
The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace ...
A new version of scale analysis and renormalization theory has been found on the non-commutative Moy...
Dans la partie principale de cette these on considère la theorie euclidienne constructive des champs...
20 pages, 6 figuresInternational audienceWe propose a new formalism for quantum field theory which i...
20 pages, 6 figuresInternational audienceWe propose a new formalism for quantum field theory which i...
The basic concepts of non-commutative probability theory are reviewed and applied to the large-N lim...
21 pages, 4 figures.International audienceWe prove that the self-interacting scalar field on the fou...
22 pages, 10 figuresWe propose to treat the $\phi^4$ Euclidean theory constructively in a simpler wa...
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. a...
Scalar field theories with quartic interaction are quantized on fuzzy S^2 and fuzzy S^2 × S^2 to obt...
22 pages, 10 figuresWe propose to treat the $\phi^4$ Euclidean theory constructively in a simpler wa...
Some matrix models admit, on top of the usual ’t Hooft expansion, an M-theory-like expansion, i.e. a...