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

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

1996-11-02

arxiv.org/abs/hep-lat/9611003v1

Phys.Rev. D55 (1997) 5067-5074

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 5 figures, LaTeX2e

Scientific paper

10.1103/PhysRevD.55.5067

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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