The ground state energy of the mean field spin glass model

2008/06/09 by Koukiou, Flora
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0806.1380

Abstract

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 ε₀ ε₀≥ -0.7833⋯, close to the replica symmetry breaking and numerical simulations values.

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