Solving spin systems: the Babylonian way
Probability
2022-04-21 v3 Mathematical Physics
math.MP
Abstract
We show that spin systems with generic (ferro- or paramagnetic, or random) interactions are "completely integrable". The approach is worked out, by way of example, for the Sherrington Kirkpatrick model: we derive an exact, closed formula for the quenched free energy in finite volume which involves an integral over a Gaussian field with correlation structure given by the interaction matrix (with a twist).
Keywords
Cite
@article{arxiv.2111.04375,
title = {Solving spin systems: the Babylonian way},
author = {Nicola Kistler},
journal= {arXiv preprint arXiv:2111.04375},
year = {2022}
}
Comments
Coy remark in relation to the replica trick added