# No replica symmetry breaking phase in random field Ginzburg-Landau model

## TL;DR

This paper proves that in the infinite volume limit of the random field Ginzburg-Landau model, the variance of the spin overlap disappears, indicating no replica symmetry breaking occurs.

## Contribution

It establishes the absence of replica symmetry breaking in the random field Ginzburg-Landau model by leveraging its FKG property.

## Key findings

- Variance of spin overlap vanishes in the infinite volume limit
- No replica symmetry breaking occurs in the model
- Utilizes FKG property to prove the result

## Abstract

It is proved that the variance of spin overlap vanishes in the infinite volume limit of random field Ginzburg-Landau model using its FKG property.