Is trivial the antiferromagnetic RP(2) model in four dimensions?
High Energy Physics - Lattice
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.hep-lat/9611003,
title = {Is trivial the antiferromagnetic RP(2) model in four dimensions?},
author = {H. G. Ballesteros and J. M. Carmona and L. A. Fernandez and V. Martin-Mayor and A. Munoz Sudupe and A. Tarancon},
journal= {arXiv preprint arXiv:hep-lat/9611003},
year = {2009}
}
Comments
21 pages, 5 figures, LaTeX2e