Abstract
The mean-field theory of spin glasses proposed by Klein and co-workers is shown to be based in a crucial way upon the neglect of fluctuations of the local spins induced by the random internal molecular field. While the approximate version of the theory describes the spin glass freezing process as a second-order-type phase transition, it is proved that no such transition is possible if fluctuations are taken into account. The relevance of the result to other mean-fleld theories is also discussed.
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