Universality and the five-dimensional Ising model

TL;DR

This paper resolves a long-standing discrepancy in the five-dimensional Ising model by providing highly accurate Monte Carlo data and analysis, leading to precise estimates of the critical point and confirming theoretical predictions.

Contribution

The study offers the first precise Monte Carlo determination of the critical point and Binder cumulant for the 5D Ising model, resolving previous inconsistencies with renormalization predictions.

Findings

Accurate Monte Carlo data for L up to 22

Precise extrapolation to infinite size

Critical point K_c=0.1139150(4)

Abstract

We solve the long-standing discrepancy between Monte Carlo results and the renormalization prediction for the Binder cumulant of the five-dimensional Ising model. Our conclusions are based on accurate Monte Carlo data for systems with linear sizes up to L=22. A detailed analysis of the corrections to scaling allows the extrapolation of these results to L=\infinity. Our determination of the critical point, K_c=0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.