Physics – Mathematical Physics
Scientific paper
2011-10-11
Physics
Mathematical Physics
9 pages, to appear in J. Stat. Phys.. There are various conceptual clarifications with respect to previous version, additional
Scientific paper
We derive rigorous lower bounds for the average ground-state energy per site
$e^{(d)}$ of the quantum and classical Edwards-Anderson spin-glass model in
dimensions $d = 2$ and $d = 3$ in the thermodynamic limit. For the classical
model they imply that $e^{(2)} \ge -3/2$ and $e^{(3)} \ge -2.204...$.
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