385 citations · 4.3k across the 93 of their papers we have counts for
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math-ph2010★ 33 cited
How are Feynman graphs resumed by the Loop Vertex Expansion?
Vincent Rivasseau, Zhituo Wang
The purpose of this short letter is to clarify which set of pieces of Feynman graphs are resummed in a Loop Vertex Expansion, and to formulate a conjecture on the theory in n…
math-ph2010★ 69 cited
Loop Vertex Expansion for Phi^2k Theory in Zero Dimension
Vincent Rivasseau, Zhituo Wang
In this paper we extend the method of loop vertex expansion to interactions with degree higher than 4. As an example we provide through this expansion an explicit proof that the fr…
math-ph2010★ 39 cited
Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories
Thomas Krajewski, Vincent Rivasseau, Fabien Vignes-Tourneret
We define a new topological polynomial extending the Bollobas-Riordan one, which obeys a four-term reduction relation of the deletion/contraction type and has a natural behavior un…