About the cavity fields in mean field spin glass models

Details About the cavity fields in mean field spin glass models About the cavity fields in mean field spin glass models

2003-07-28

arxiv.org/abs/cond-mat/0307673v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages

Scientific paper

We give the explicit expression of the infinite volume limit for the random
overlap structures appearing in the mean field spin glass model. These
structures have the expected factorization property for the cavity fields, and
enjoy invariance with respect to a large class of random transformations. These
properties are typical of the Parisi Ansatz.

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