C. M. Newman, D. L. Stein
Published 2001-05-14, updated 2001-08-29Version 3
We 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.
Comments: 32 pages (LaTeX); 3 figures; previously posted under the title ``Replica Symmetry Breaking's New Clothes''; revisions made for clarity, glossary added
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