Is the antiferromagnetic RP^(2) model in four dimensions trivial?
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 contin...
| Autores: | , , , , , |
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| Formato: | artículo |
| Fecha de publicación: | 1997 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60088 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/60088 |
| Access Level: | acceso abierto |
| Palavra-chave: | 53 51-73 Stacked-triangular antiferromagnets Lattice PHI-4 theory One-component model Scaling laws Monte-Carlo Renormalization-group Phase Bounds. Física (Física) Física-Modelos matemáticos 22 Física |
| Resumo: | 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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