Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model

Details Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model Supersymmetric quenched complexity in the Sherrington-Kirkpatrick model

2003-04-30

arxiv.org/abs/cond-mat/0304698v1

Phys. Rev. E 68, 061103 (2003)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.68.061103

By using the BRST supersymmetry we compute the quenched complexity of the TAP
states in the SK model. We prove that the BRST complexity is equal to the
Legendre transform of the static free energy with respect to the largest
replica symmetry breaking point of its overlap matrix.

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