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Is trivial the antiferromagnetic RP(2) model in four dimensions?

H. G. Ballesteros·J. M. Carmona·L. A. Fernandez·V. Martin-Mayor·A. Munoz Sudupe·A. Tarancon
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Abstract

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.

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H. G. Ballesteros, J. M. Carmona, L. A. Fernandez, V. Martin-Mayor, A. Munoz Sudupe, A. Tarancon. 1996-11-02. Is trivial the antiferromagnetic RP(2) model in four dimensions?. https://doi.org/10.1103/physrevd.55.5067

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