On the formal equivalence of the TAP and thermodynamic methods in the SK model

被引：41

作者：

Cavagna, A

Giardina, I

Parisi, G

Mézard, M

机构：

[1] Univ Roma La Sapienza, Ctr Stat Mech & Complex, INFM, I-00185 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[3] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 05期

关键词：

D O I：

10.1088/0305-4470/36/5/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit two classic Thouless-Anderson-Palmer (TAP) studies of the Sherrington-Kirkpatrick model (Bray A J and Moore M A 1980 J. Phys. C: Solid State Phys. 13 L469; De Dominicis C and Young A P 1983 J. Phys. A: Math. Gen. 16 2063). By using the Becchi-Rouet-Stora-Tyutin (BRST) supersymmetry, we prove the general equivalence of TAP and replica partition functions, and show that the annealed calculation of the TAP complexity is formally identical to the quenched thermodynamic calculation of the free energy at one step level of replica symmetry breaking. The complexity we obtain by means of the BRST symmetry turns out to be considerably smaller than the previous non-symmetric value.

引用

页码：1175 / 1194

页数：20

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