The out-equilibrium 2D Ising spin glass: almost, but not quite, a free-field theory

TL;DR

This paper investigates the out-of-equilibrium spatial correlations in the 2D Ising spin glass, finding that a non-interacting field theory surprisingly captures the correlation shape near zero temperature.

Contribution

It demonstrates that a free-field theory effectively describes out-of-equilibrium correlations in the 2D Ising spin glass, challenging expectations of complex interactions.

Findings

Non-interacting field theory models out-of-equilibrium correlations.

Correlation functions near zero temperature resemble free-field behavior.

Theoretical predictions align with numerical observations.

Abstract

We consider the spatial correlation function of the two-dimensional Ising spin glass under out-equilibrium conditions. We pay special attention to the scaling limit reached upon approaching zero temperature. The field-theory of a non-interacting field makes a surprisingly good job at describing the spatial shape of the correlation function of the out-equilibrium Edwards-Anderson Ising model in two dimensions.