Constructive $\phi^4$ field theory without tears

J. Magnen (1) , V. Rivasseau (2)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]

We propose to treat the $\phi^4$ 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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

J. Magnen, V. Rivasseau. Constructive $\phi^4$ field theory without tears. 2007. ⟨hal-00165694⟩