English

Constructive $\phi^4$ field theory without tears

Mathematical Physics 2009-04-30 v1 math.MP

Abstract

We propose to treat the ϕ4\phi^4 Euclidean theory constructively in a simpler way. Our method, based on a new kind of "loop vertex expansion", no longer requires the painful intermediate tool of cluster and Mayer expansions.

Cite

@article{arxiv.0706.2457,
  title  = {Constructive $\phi^4$ field theory without tears},
  author = {J. Magnen and V. Rivasseau},
  journal= {arXiv preprint arXiv:0706.2457},
  year   = {2009}
}
R2 v1 2026-06-21T08:39:13.004Z