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Universality Class of O(N) Models

Adrian Patrascioiu, Erhard Seiler

hep-latarXiv:hep-lat/9508014

Abstract

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 η=1/4, which is inconsistent with asymptotic freedom. This value of η is also different from the one of the Wess-Zumino-Novikov-Witten model that is supposed to correspond to the O(3) model at θ=π.

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