Constructive Field Theory in Zero Dimension

preprint2009arXivOpen access

Abstract

In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional ϕ4ϕ^4 field theory,in increasing order of sophistication. The note does not contain any new result but may be helpful to summarize the heart of constructive resummations, namely a replica trick and a forest formula.

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