Repairing Stevenson's step in the 4d Ising model

TL;DR

This paper revisits Stevenson's claim about inconsistencies in the 4d Ising model's wave function renormalization near criticality, providing improved data that aligns with established analytical expectations when accounting for lattice artifacts.

Contribution

It offers new, higher-statistics data demonstrating that previous discrepancies are resolved by considering lattice artifacts, reaffirming conventional analytical results.

Findings

Data with improved statistics aligns with analytical expectations.

Lattice artifacts explain previous discrepancies.

Results support the validity of the conventional analysis.

Abstract

In a recent paper Stevenson claimed that analysis of the data on the wave function renormalization constant near the critical point of the 4d Ising model is not consistent with analytical expectations. Here we present data with improved statistics and show that the results are indeed consistent with conventional wisdom once one takes into account the uncertainty of lattice artifacts in the analytical computations.