For N=2 and N=3, LPA rate functions match Monte Carlo shapes to within 1% after rescaling a global amplitude and zeta, but the uncorrected universal constants differ by 20-25%.
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Probability distributions of the order parameter of the $O(N)$ model
For N=2 and N=3, LPA rate functions match Monte Carlo shapes to within 1% after rescaling a global amplitude and zeta, but the uncorrected universal constants differ by 20-25%.