Constructive Cavity Method
Statistical Mechanics
2026-01-09 v1
Abstract
We show that the functional appearing in the celebrated Parisi formula for the free energy of the Sherrington-Kirkpatrick model can be found from the incremental free energy obtained by Cavity Method if one assumes that the state is a product of independent Random Energy models.
Keywords
Cite
@article{arxiv.2601.00410,
title = {Constructive Cavity Method},
author = {Simone Franchini},
journal= {arXiv preprint arXiv:2601.00410},
year = {2026}
}
Comments
8 pages. The research presented in this work was conducted in the period 2016-2020 within the LoTGlasSy project (ERC Grant 694925). Replaces arXiv:1909.06594v1