Abstract
In recent years much progress has been made in this field, and after a great deal of effort self-consistent mean field approximation has been obtained [1] (sometimes this construction goes under the name of broken replica theory). This theory should be exact for weak long-range forces or when the dimensions of the space become very large (fluctuations are neglected). The ideas involved in this construction are rather different from those of the mean field approximation for other models and take care of the peculiar properties of spin glasses. In this paper we will not show how these ideas have been developed. We will also skip most of the technical details and concentrate our attention on a few important physical results.
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References
For a theoretical review on the mean field approximation in spin glasses see M. Mezard, G. Parisi and M. Virasoro, “Spin Glass Theory and Beyond” ( World Scientific, Singapore, 1987 ).
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© 1988 Springer-Verlag Berlin Heidelberg
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Parisi, G. (1988). Mean Field Theory for Spin Glasses. In: Takayama, H. (eds) Recent Topics in Theoretical Physics. Springer Proceedings in Physics, vol 24. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73211-9_9
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DOI: https://doi.org/10.1007/978-3-642-73211-9_9
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