Study of longitudinal fluctuations of the Sherrington-Kirkpatrick model

Abstract

We study finite-size corrections to the free energy of the Sherrington-Kirkpatrick spin glass in the low temperature phase. We investigate the role of longitudinal fluctuations in these corrections, neglecting the transverse contribution. In particular, we are interested in the exponent $\alpha$ defined by the relation $f-f_{\infty }\sim N^{-\alpha }$. We perform both an analytical and numerical estimate of the analytical result for $\alpha$. From both the approaches we get the result: $\alpha =0.8$.

12 pages

References in corpus (1)

• The Parisi formula has a unique minimizer

Cited by in corpus (1)

• Ground State Properties of the Diluted Sherrington-Kirkpatrick Spin Glass