Constructive Field Theory in Zero Dimension
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🧮 math-ph
math.MP
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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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