Critical properties of the antiferromagnetic RP^2 model in three dimensions
We study the behavior of the antiferromagnetic RP^2 model in d = 3. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical point we observe a full breakdown of the 0(3) symmetry of the act...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1997 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60092 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/60092 |
| Access Level: | acceso abierto |
| Palabra clave: | 53 51-73 Monte-Carlo simulations Nonlinear Sigma-models Renormalization-group Phase-transitions Critical-behavior Heisenberg-model Lattice Systems Order. Física (Física) Física-Modelos matemáticos 22 Física |
| Sumario: | We study the behavior of the antiferromagnetic RP^2 model in d = 3. The vacuum structure is analyzed in the critical and low temperature regions, paying special attention to the spontaneous symmetry breaking pattern. Near the critical point we observe a full breakdown of the 0(3) symmetry of the action. Several methods for computing critical exponents are compared. We conclude that the most solid determination is obtained using a measure of the correlation length. Corrections-to-scaling are parameterized, yielding a very accurate determination of the critical coupling and a 5% error measure of the related exponent. This is used to estimate the systematic errors due to finite-size effects. |
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