A simplified Parisi Ansatz
Statistical Mechanics
2021-05-12 v7
Abstract
Based on simple combinatorial arguments, we formulate a generalized cavity method where the Random Overlap Structure (ROSt) probability space of Aizenmann, Sims and Starr is obtained in a constructive way, and use it to give a simplified derivation of the Parisi formula for the free energy of the Sherrington-Kirckpatrick model
Cite
@article{arxiv.1909.06594,
title = {A simplified Parisi Ansatz},
author = {Simone Franchini},
journal= {arXiv preprint arXiv:1909.06594},
year = {2021}
}
Comments
23 pages, 2 Figures