Pith. sign in

REVIEW

Quenched Computation of the Complexity of the Sherrington-Kirkpatrick Model

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv cond-mat/0309256 v3 pith:DDPPKMYP submitted 2003-09-10 cond-mat.dis-nn cond-mat.stat-mech

A. Crisanti , L. Leuzzi , G. Parisi , T. Rizzo This is my paper · ORCID
classification cond-mat.dis-nncond-mat.stat-mech
keywords complexityenergyfreequenchedansatzcomputationmodelsherrington-kirkpatrick
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The quenched computation of the complexity in the Sherrington-Kirkpatrick model is presented. A modified Full Replica Symmetry Breaking Ansatz is introduced in order to study the complexity dependence on the free energy. Such an Ansatz corresponds to require Becchi-Rouet-Stora-Tyutin supersymmetry. The complexity computed this way is the Legendre transform of the free energy averaged over the quenched disorder. The stability analysis shows that this complexity is inconsistent at any free energy level but the equilibirum one. The further problem of building a physically well defined solution not invariant under supersymmetry and predicting an extensive number of metastable states is also discussed.

Discussion (0). Continue with ORCID to comment.

Pith tools