Full replica symmetry breaking in generalized mean--field spin glasses with reflection symmetry

TL;DR

This paper analyzes the full replica symmetry breaking solution near the critical temperature in a general mean-field spin glass model with reflection symmetry, deriving key equations and the leading order behavior of the order parameter.

Contribution

It provides the first detailed derivation of the Parisi equation and the leading order term for the order parameter in models with reflection symmetry.

Findings

Derived the leading term of the order parameter function.

Formulated the Parisi equation for the model.

Analyzed the solution near the critical temperature.

Abstract

The analysis of the solution with full replica symmetry breaking in the vicinity of $T_c$ of a general spin glass model with reflection symmetry is performed. The leading term in the order parameter function expansion is obtained. Parisi equation for the model is written.