Ap. Gottlob et M. Hasenbusch, 3-STATE ANTIFERROMAGNETIC POTTS-MODEL IN 3 DIMENSIONS - UNIVERSALITY AND CRITICAL AMPLITUDES, Physica. A, 210(1-2), 1994, pp. 217-236
We present the results of a Monte Carlo study of the three-dimensional
antiferromagnetic 3-state Potts model. We compute various cumulants i
n the neighbourhood of the critical coupling. The comparison of the re
sults with a recent high statistics study of the 3D XY model strongly
supports the hypothesis that both models belong to the same universali
ty class. From our numerical data of the anti-ferromagnetic 3-state Po
tts model we obtain for the critical coupling K(c) = 0.81563(3), and f
or the static critical exponents gamma/nu = 1.973(9) and nu = 0.664(4)
.