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Scaling and renormalization group in replica-symmetry-breaking space: evidence for a simple analytical solution of the Sherrington-Kirkpatrick model at zero temperature.

Abstract:

Using numerical self-consistent solutions of a sequence of finite replica symmetry breakings (RSB) and Wilson's renormalization group but with the number of RSB steps playing a role of decimation scales, we report evidence for a nontrivial T-->0 limit of the Parisi order function q(x) for the Sherrington-Kirkpatrick spin glass. Supported by scaling in RSB space, the fixed point order function is conjectured to be q*(a)=sqrt[pi]/2 a/xi erf(xi/a) on 0

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Publication status:
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Authors


Oppermann, R More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
Physical review letters
Volume:
95
Issue:
19
Pages:
197203
Publication date:
2005-11-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:f008ebf0-6108-4c79-a772-42db914e93c2
Source identifiers:
27971
Local pid:
pubs:27971
Language:
English

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