On the upper critical dimensions of random spin systems |
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| Authors: | Hal Tasaki |
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| Affiliation: | (1) Physics Department, Princeton University, 08544 Princeton, New Jersey;(2) Present address: Department of Physics, Gakushuin University, Mejiro, Toshima-ku, 171 Tokyo, Japan |
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| Abstract: | A set of critical exponent inequalities is proved for a large class of classical random spin systems. The inequalities imply rigorous (and probably the optimal) lower bounds for the upper critical dimensions, i.e.,du 4 for regular and random ferromagnets,du6 for spin glasses and random field systems. |
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| Keywords: | Random spin systems critical exponent inequalities upper critical dimensions |
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