The State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses

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dc.creatorNewman, C. M.
dc.creatorStein, D. L.
dc.date2001-05-14
dc.date2001-08-29
dc.date.accessioned2026-07-07T02:41:24Z
dc.date.available2026-07-07T02:41:24Z
dc.descriptionWe prove the impossibility of recent attempts to decouple the Replica Symmetry Breaking (RSB) picture for finite-dimensional spin glasses from the existence of many thermodynamic (i.e., infinite-volume) pure states while preserving another signature RSB feature --- space filling relative domain walls between different finite-volume states. Thus revisions of the notion of pure states cannot shield the RSB picture from the internal contradictions that rule out its physical correctness in finite dimensions at low temperature in large finite volume.
dc.description32 pages (LaTeX); 3 figures; previously posted under the title ``Replica Symmetry Breaking's New Clothes''; revisions made for clarity, glossary added
dc.identifierhttps://arxiv.org/abs/cond-mat/0105282
dc.identifierhttp://arxiv.org/abs/cond-mat/0105282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17732
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleThe State(s) of Replica Symmetry Breaking: Mean Field Theories vs. Short-Ranged Spin Glasses
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