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

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

2010-03-04

arxiv.org/abs/1003.1037v1

Journ. Math. Physics, 51 (2010) 092304

Physics

Mathematical Physics

21 pages, 6 figures

Scientific paper

10.1063/1.3460320

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.

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