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arxiv: hep-lat/9611003 · v1 · submitted 1996-11-02 · ✦ hep-lat

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

classification ✦ hep-lat
keywords antiferromagneticmodelcontinuumcorrectionsdimensionsexponentsferromagneticfour
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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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