Upper Bounds on the Critical Temperature of the Ashkin-Teller Model |
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| Authors: | Jander P. Santos F. C. Sá Barreto |
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| Affiliation: | 1. Departamento de Matemática - UFSJ, Caixa Postal 110, 30301-160, S?o Jo?o del-Rei, MG, Brazil
2. Departamento de Física - UFMG, Caixa Postal 1621, 30161-970, Belo Horizonte, MG, Brazil
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| Abstract: | Starting from correlation identities for the Ashkin-Teller model and using correlation inequalities, we obtain rigorous upper bounds on the critical temperatures. The results were obtained in hexagonal, square, and cubic lattices and improve over effective field type calculations. The rigorous upper bounds results are compared to those obtained by other methods. |
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