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We have performed Monte Carlo simulations for the three-dimensional Ising model. Using histogram techniques, we calculate the density of states on L^3 block lattices up to size L=14. Statistical jackknife methods are employed to perform a thorough error analysis. We obtain high-precision estimates for the leading zeros of the partition function, which, using finite-size scaling, translate into =0. 62850. 0019. Along a different line of approach following recent work in lattice-gauge theories, we accurately determine the mass gap m=1/ (correlation length) for cylindrical L^2Lₙ lattices (with Lₙ=256 and L up to 12). The finite-size-scaling analysis of the mass-gap data leads to =0. 63210. 0019.
Alves et al. (Mon,) studied this question.