@inbook{10.2307/j.ctt7zv6ds.6,
URL = {http://www.jstor.org/stable/j.ctt7zv6ds.6},
abstract = {The simplest interacting field theory is the theory of a one-component scalar bosonic field φ with quartic interaction$g{\varphi ^4}$(${\varphi ^3}$which is simpler looks unstable). In${\mathbb{R}^d}$it is called the$\varphi _d^4$model. Ford= 1, 2, 3 the model is superrenormalizable and has been built by constructive field theory. Ford= 4 it is renormalizable in perturbation theory. Although a constructive version may not exist [Aiz][Frö], it remains a valuable tool at least for a pedagogical introduction to renormalization theory.Formally the Schwinger functions of the$\varphi _d^4$are the moments of the measure:$dv = \frac{1} {Z}{e^{( - g/4!)\int {{\varphi ^4} - ({m^2}/2)\int {{\varphi ^2} - (a/2)} \int {({\partial _\mu }\varphi {\text{ }}{\partial ^u}\varphi )} } }}D\varphi $. (1.3.1)gis},
bookauthor = {Vincent Rivasseau},
booktitle = {From Perturbative to Constructive Renormalization},
pages = {23--36},
publisher = {Princeton University Press},
title = {The ${\Phi ^4}$ Model},
year = {1991}
}