How are Feynman graphs resumed by the Loop Vertex Expansion?

Vincent Rivasseau (1) , Zhituo Wang (1)

1 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

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 $\phi^4$ theory in non-integer dimension.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Vincent Rivasseau, Zhituo Wang. How are Feynman graphs resumed by the Loop Vertex Expansion?. 2010. ⟨hal-00498094⟩