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Phys. Rev. B 54, 7177–7179 (1996)

Universality class of O(N) models

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Adrian Patrascioiu
Department of Physics, University of Arizona, Tucson, Arizona 85721

Erhard Seiler
Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-80805 Munich, Germany

Received 10 January 1996; published in the issue dated 1 September 1996

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 a 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. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.54.7177
DOI:
10.1103/PhysRevB.54.7177
PACS:
75.10.Jm, 05.70.Fh