Loop Vertex Expansion for Phi^2k Theory in Zero Dimension - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2010

Loop Vertex Expansion for Phi^2k Theory in Zero Dimension

Résumé

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 free energy of Phi^2k scalar theory in zero dimension is Borel-Le Roy summable of order k-1. We detail the computations in the case of a Phi^6 interaction.

Dates et versions

hal-00461968 , version 1 (08-03-2010)

Identifiants

Citer

Vincent Rivasseau, Zhituo Wang. Loop Vertex Expansion for Phi^2k Theory in Zero Dimension. Journal of Mathematical Physics, 2010, 51 (9), pp.092304. ⟨10.1063/1.3460320⟩. ⟨hal-00461968⟩
109 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More