Monte Carlo determination of the critical coupling in ${\varphi }_2^4$ theory

Abstract

We use lattice formulation of ${\varphi }^4$ theory in order to investigate non--perturbative features of its continuum limit in two dimensions. In particular, by means of Monte Carlo calculations, we obtain the critical coupling constant $g/{\mu }^2$ in the continuum, where $g$ is the {\em unrenormalised} coupling. Our final result is $g/{\mu }^2=11.15(6)(3)$.

Comments: Version published on Phys. Rev. D. We added a reference and modified a couple of sentences