Monte Carlo evaluation of the continuum limit of (φ12)3

We study canonical and affine versions of non-renormalizable Euclidean classical scalar field-theory with twelfth-order power-law interactions on three dimensional lattices through the Monte Carlo method. We show that while the canonical version of the model turns out to approach a 'free-theory' in the continuum limit, the affine version is perfectly well defined as an interaction model.

Automated summary

The study focused on canonical and affine versions of non-renormalizable Euclidean classical scalar field-theory with twelfth-order power-law interactions on three dimensional lattices. It was found that while the canonical version approached a 'free-theory' in the continuum limit, the affine version remained well-defined as an interaction model.