On infrared divergences in spin glasses

TL;DR

This paper investigates infrared divergences in a simplified model of spin glasses using the replica method, proposing a potential cancellation mechanism that could reduce singularities in theoretical calculations.

Contribution

It introduces a possible cancellation mechanism for infrared divergences in the replica approach to spin glasses, potentially improving the understanding of their low-temperature behavior.

Findings

Proposes a cancellation mechanism for infrared divergences.

Suggests a decrease in the degree of singularity in loop expansions.

Provides insights into the structure of divergences in spin glasses.

Abstract

By studying the structure of infrared divergences in a toy propagator in the replica approach to the Ising spin glass below $T_c$, we suggest a possible cancellation mechanism which could decrease the degree of singularity in the loop expansion.