Replica symmetry breaking related to a general ultrametric space II: RSB solutions and the n\to0 limit

TL;DR

This paper investigates replica symmetry breaking solutions within a new ultrametric space framework, developing a tree-based analysis to compute the n→0 limit, advancing understanding in spin glass models.

Contribution

It introduces a novel analysis method on trees for ultrametric spaces and applies it to compute the n→0 limit in a new replica ansatz, extending RSB theory.

Findings

Developed a variant of tree analysis for ultrametric spaces

Computed the n→0 limit in the new replica ansatz

Enhanced understanding of RSB solutions in ultrametric contexts

Abstract

Replica symmetry breaking solutions for the new replica anzats, related to general ultrametric spaces, are investigated. A variant of analysis on trees is developed and applied to the computation of the n\to0 limit in the new replica anzats.