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arxiv: 1506.08587 · v2 · pith:KVLF7KK5new · submitted 2015-06-29 · ✦ hep-lat

Monte Carlo determination of the critical coupling in φ⁴₂ theory

classification ✦ hep-lat
keywords couplingcarlocontinuumcriticalmontetheorycalculationsconstant
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We use lattice formulation of $\phi^4$ 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 $g/\mu^2=11.15(6)(3)$.

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