H. G. Ballesteros, J. M. Carmona, L. A. Fernandez, V. Martin-Mayor, A. Munoz Sudupe, A. Tarancon
Published 1996-11-02Version 1
We study the antiferromagnetic RP(2) model in four dimensions. We find a second order transition with two order parameters, one ferromagnetic and the other antiferromagnetic. The antiferromagnetic sector has mean-field critical exponents and a renormalized coupling which goes to zero in the continuum limit. The exponents of the ferromagnetic channel are not the mean-field ones, but the difference can be interpreted as logarithmic corrections. We perform a detailed analysis of these corrections and conclude the triviality of the continuum limit of this model.
Comments: 21 pages, 5 figures, LaTeX2e
Journal: Phys.Rev. D55 (1997) 5067-5074
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