# Constructive Field Theory in Zero Dimension - Mathematical Physics

Abstract: In this pedagogical note we propose to wander through five different methodsto compute the number of connected graphs of the zero-dimensional $\phi^4$field theory,in increasing order of sophistication. The note does not containany new result but may be helpful to summarize the heart of constructiveresummations, namely a replica trick and a forest formula.

Author: V. Rivasseau

Source: https://arxiv.org/