New technique for replica symmetry breaking with application to the SK-model at and near T=0

Abstract

We describe a novel method which allows the treatment of high orders of replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approximations or scaling assumptions. It yields the low temperature order function q(a,T) in the full range $0\le a<\infty$ and is complete in the sense that all observables can be calculated from it. The behavior of some observables and the finite RSB theory itself is analyzed as one approaches continuous RSB. The validity and applicability of the traditional continuous formulation is then scrutinized and a new continuous RSB formulation is proposed.

References in corpus (3)

• Low temperature solution of the Sherrington-Kirkpatrick model
• Double Criticality of the Sherrington-Kirkpatrick Model at T=0
• Scaling and Renormalization Group in Replica Symmetry Breaking space: Evidence for a simple analytical solution of the SK model at zero temperature

Cited by in corpus (7)

• Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model
• Sherrington-Kirkpatrick model near $T=T_c$: expanding around the Replica Symmetric Solution
• Stability of the Parisi Solution for the Sherrington-Kirkpatrick model near T=0
• The Sherrington-Kirkpatrick model for spin glasses: A new approach for the solution
• The Sherrington-Kirkpatrick model near T_c and near T=0
• Complex Cooperative Behaviour in Range-free Frustrated Many-body Systems
• Nonanalytic quantum oscillator image of complete replica symmetry breaking