Comment on "Evidence for the Droplet/Scaling Picture of Spin Glasses"

TL;DR

This paper critically examines recent claims of non-mean-field behavior in 3D Ising spin glasses, providing evidence that supports mean-field characteristics through analysis of the Migdal-Kadanoff approximation.

Contribution

It refutes recent evidence for non-mean-field behavior and demonstrates the mean-field nature of 3D spin glasses using the MKA and EA models.

Findings

MKA analysis aligns with mean-field behavior

Refutes claims of non-mean-field evidence in 3D spin glasses

Supports the view that 3D spin glasses exhibit mean-field characteristics

Abstract

In a recent letter Moore et al. claim to exhibit evidence for a non-mean-field behavior of the $3d$ Ising spin glass. We show that their claim is insubstantial, and by analyzing in detail the behavior of the Migdal-Kadanoff approximation (MKA) as compared to the behavior of the Edwards-Anderson (EA) spin glass we find further evidence of a mean-field like behavior of the $3d$ spin glass.