English

The ground state energy of the mean field spin glass model

Mathematical Physics 2010-07-26 v2 math.MP

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\epsilon_0 ϵ00.7833,\epsilon_0\geq -0.7833\cdots, close to the replica symmetry breaking and numerical simulations values.

Keywords

Cite

@article{arxiv.0806.1380,
  title  = {The ground state energy of the mean field spin glass model},
  author = {Flora Koukiou},
  journal= {arXiv preprint arXiv:0806.1380},
  year   = {2010}
}