Monte Carlo determination of the critical coupling in $ϕ^4_2$ theory

We use lattice formulation of $ϕ^4$ 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 $g/μ^2$ in the continuum, where $g$ is the {\em unrenormalised} coupling. Our final result is $g/μ^2=11.15(6)(3)$.

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