Ballesteros, H. G.Carmona, J. M.Fernández Pérez, Luis AntonioMartín Mayor, VíctorMuñoz Sudupe, AntonioTarancón, A.2023-06-202023-06-201997-04-151550-799810.1103/PhysRevD.55.5067https://hdl.handle.net/20.500.14352/60088© 1997 The American Physical Society. We thank J. L. Alonso and J. J. Ruiz-Lorenzo for many enlightening discussions. This work was partially supported by CICyT AEN93-0604, AEN94-0218, and AEN95-1284-E.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.engjournal articlehttp://doi.org/10.1103/PhysRevD.55.5067http://journals.aps.org/open access5351-73Stacked-triangular antiferromagnetsLattice PHI-4 theoryOne-component modelScaling lawsMonte-CarloRenormalization-groupPhaseBounds.Física (Física)Física-Modelos matemáticos22 Física