385 citations · 4.3k across the 93 of their papers we have counts for
7 papers · 1 filter
Why Renormalizable NonCommutative Quantum Field Theories?
Vincent Rivasseau
We complete our previous recent review on noncommutative field theory, discussing in particular the constructive aproach to the Grosse-Wulkenhaar theory. We also suggest that by gl…
Constructive field theory without tears
J. Magnen, V. Rivasseau
We propose to treat the Euclidean theory constructively in a simpler way. Our method, based on a new kind of "loop vertex expansion", no longer requires the painful intermedi…
Constructive Matrix Theory
V. Rivasseau
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…
Non-Commutative Complete Mellin Representation for Feynman Amplitudes
R. Gurau, A. P. C. Malbouisson, V. Rivasseau +1
We extend the complete Mellin (CM) representation of Feynman amplitudes to the non-commutative quantum field theories. This representation is a versatile tool. It provides a quick…
Non-commutative Renormalization
Vincent Rivasseau
A new version of scale analysis and renormalization theory has been found on the non-commutative Moyal space. It could be useful for physics beyond the standard model or for standa…
Renormalisation of non-commutative field theories
Vincent Rivasseau, Fabien Vignes-Tourneret
The first renormalisable quantum field theories on non-commutative space have been found recently. We review this rapidly growing subject.
Parametric representation of "critical" noncommutative QFT models
Vincent Rivasseau, Adrian Tanasa
We extend the parametric representation of renormalizable non commutative quantum field theories to a class of theories which we call "critical", because their power counting is de…