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Constructive Field Theory in Zero Dimension

Mathematical Physics 2014-11-20 v1 math.MP

Abstract

In this pedagogical note we propose to wander through five different methods to compute the number of connected graphs of the zero-dimensional ϕ4\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.

Cite

@article{arxiv.0906.3524,
  title  = {Constructive Field Theory in Zero Dimension},
  author = {V. Rivasseau},
  journal= {arXiv preprint arXiv:0906.3524},
  year   = {2014}
}

Comments

12 pages,one figure

R2 v1 2026-06-21T13:15:16.513Z