A Comment on "Free energy fluctuations in Ising spin glasses", by T. Aspelmeier and M.A. Moore

TL;DR

This paper demonstrates that the standard Parisi replica symmetry breaking approach remains valid without modifications by solving the discrete stationarity equations exactly for R steps.

Contribution

It provides an exact solution to the discrete stationarity equations in the R-step Parisi scheme, confirming the validity of the existing ansatz.

Findings

No modification needed for the Parisi ansatz.

Exact solutions for R-step breaking are achievable.

Supports the robustness of the standard spin glass theory approach.

Abstract

We show that there is no need to modify the Parisi replica symmetry breaking ansatz, by working with $R$ steps of breaking and solving {\it exactly} the discrete stationarity equations generated by the standard ``truncated Hamiltonian" of spin glass theory.