# An Extended Variational Principle for the SK Spin-Glass Model

@inproceedings{Aizenman2003AnEV,
title={An Extended Variational Principle for the SK Spin-Glass Model},
author={Michael Aizenman and Robert Sims and Shannon L. Starr},
year={2003}
}
• Published 16 June 2003
• Mathematics
The recent proof by F. Guerra that the Parisi ansatz provides a lower bound on the free energy of the SK spin-glass model could have been taken as oﬀering some support to the validity of the purported solution. In this work we present a broader variational principle, in which the lower bound, as well as the actual value, are expressed through an optimization procedure for which ultrametic/hierarchal structures form only a subset of the variational class. The validity of Parisi’s ansatz for the…
76 Citations

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