Universality Class of $O(N)$ Models

Details Universality Class of $O(N)$ Models Universality Class of $O(N)$ Models

1995-08-11

arxiv.org/abs/hep-lat/9508014v2

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, with 3 figures included, postscript. An error concerning the errors has been corrected

Scientific paper

10.1103/PhysRevB.54.7177

We point out that existing numerical data on the correlation length and magnetic susceptibility suggest that the two dimensional $O(3)$ model with standard action has critical exponent $\eta=1/4$, which is inconsistent with asymptotic freedom. This value of $\eta$ is also different from the one of the Wess-Zumino-Novikov-Witten model that is supposed to correspond to the $O(3)$ model at $\theta=\pi$.

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