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arXiv · 1612.05029

Monte Carlo simulation of $ϕ^4_2$ and $O(N)ϕ^4_3$ theories

Barbara De Palma·Marco Guagnelli
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Abstract

We report lattice simulations of $ϕ^4_2$ and $O(N)\,ϕ^4$ models, performed by means of a Monte Carlo method based on the all-order strong coupling expansion (worm algorithm). The investigation of the non-perturbative features of the $ϕ^4$ continuum limit in two dimensions lead us to the result $g/μ^2 = 11.15 \pm 0.06_{stat} \pm 0.03_{syst}$ for the critical coupling. Furthermore we present preliminary results for the three-dimensional $O(2)ϕ^4\,$ model using the worm algorithm with the extention to $O(N)ϕ^4\,$ in $D$ dimensions.

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Barbara De Palma, Marco Guagnelli. 2016-12-15. Monte Carlo simulation of $ϕ^4_2$ and $O(N)ϕ^4_3$ theories. https://arxiv.org/abs/1612.05029

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