# Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model

@article{Guerra2002QuadraticRC, title={Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model}, author={Francesco Guerra and Fabio L. Toninelli University of Rome 'La Sapienza' and Infn and R. Scuola normale superiore universitaria di Pisa and Pisa}, journal={Journal of Mathematical Physics}, year={2002}, volume={43}, pages={3704-3716} }

We develop a very simple method to study the high temperature, or equivalently high external field, behavior of the Sherrington–Kirkpatrick mean field spin glass model. The basic idea is to couple two different replicas with a quadratic term, trying to push out the two replica overlap from its replica symmetric value. In the case of zero external field, our results reproduce the well known validity of the annealed approximation, up to the known critical value for the temperature. In the case of…

## 73 Citations

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