Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplicity of State and Overlap Structure in Finite-Volume Realistic
  Spin Glasses   We present a combination of heuristic and rigorous arguments indicating that
both the pure state structure and the overlap structure of realistic spin
glasses should be relatively simple: in a large finite volume with
coupling-independent boundary conditions, such as periodic, at most a pair of
flip-related (or the appropriate number of symmetry-related in the non-Ising
case) states appear, and the Parisi overlap distribution correspondingly
exhibits at most a pair of delta-functions at plus/minus the self-overlap. This
rules out the nonstandard SK picture introduced by us earlier, and when
combined with our previous elimination of more standard versions of the mean
field picture, argues against the possibility of even limited versions of mean
field ordering in realistic spin glasses. If broken spin flip symmetry should
occur, this leaves open two main possibilities for ordering in the spin glass
phase: the droplet/scaling two-state picture, and the chaotic pairs many-state
picture introduced by us earlier. We present scaling arguments which provide a
possible physical basis for the latter picture, and discuss possible reasons
behind numerical observations of more complicated overlap structures in finite
volumes.

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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol