The ground state energy of the mean field spin glass model

Details The ground state energy of the mean field spin glass model The ground state energy of the mean field spin glass model

2008-06-09

arxiv.org/abs/0806.1380v2

Physics

Mathematical Physics

Scientific paper

From the study of a functional equation of Gibbs measures we calculate the
limiting free energy of the Sherrington-Kirkpatrick spin glass model at a
particular value of (low) temperature. This implies the following lower bound
for the ground state energy $\epsilon_0$ \[\epsilon_0\geq -0.7833\cdots,\]
close to the replica symmetry breaking and numerical simulations values.

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