Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
Statistical Mechanics
2019-06-21 v2 Disordered Systems and Neural Networks
Abstract
We provide a non-trivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation, and then perform a high-accuracy test. While the supersymmetric predictions are satisfied even to our high-accuracy at D=5, they fail to describe our results at D=4.
Keywords
Cite
@article{arxiv.1901.08473,
title = {Evidence for Supersymmetry in the Random-Field Ising Model at D = 5},
author = {Nikolaos G. Fytas and Victor Martin-Mayor and Giorgio Parisi and Marco Picco and Nicolas Sourlas},
journal= {arXiv preprint arXiv:1901.08473},
year = {2019}
}
Comments
8 pages, 5 figures, final version with minor modifications to be published in Physical Review Letters