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arxiv: 0906.3524 · v1 · pith:TPKFGF26new · submitted 2009-06-18 · 🧮 math-ph · math.MP

Constructive Field Theory in Zero Dimension

classification 🧮 math-ph math.MP
keywords constructivefieldnotetheorycomputeconnectedcontaindifferent
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In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional $\phi^4$ 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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