The stability of the O(N) invariant fixed point in three dimensions

Physics – Condensed Matter

Scientific paper

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latex file of 18 pages plus three ps figures

Scientific paper

10.1088/0305-4470/31/20/004

We study the stability of the O(N) fixed point in three dimensions under perturbations of the cubic type. We address this problem in the three cases $N=2,3,4$ by using finite size scaling techniques and high precision Monte Carlo simulations. It is well know that there is a critical value $2

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