Repairing Stevenson's step in the 4d Ising model

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.

19 pages, 7 figures, LaTeX

References in corpus (4)

• Numerical analysis of the Higgs mass triviality bound
• Comparison of perturbative RG theory with lattice data for the 4d Ising model
• Further lattice evidence for a large re-scaling of the Higgs condensate
• The 4d one component lattice ${\varphi }^4$ model in the broken phase revisited

Cited by in corpus (8)

• Critical behaviour of the Ising model on the 4-dimensional lattice
• Phase transition of four-dimensional Ising model with higher-order tensor renormalization group
• Non-vanishing boundary effects and quasi-first order phase transitions in high dimensional Ising models
• Proof of triviality of $\lambda {\varphi }^4$ theory
• Triviality problem and the high-temperature expansions of the higher susceptibilities for the Ising and the scalar field models on four-, five- and six-dimensional lattices
• An alternative heavy Higgs mass limit
• On the low-energy spectrum of spontaneously broken Φ^4 theories
• Spectrum in the broken phase of a $\lambda {\varphi }^4$ theory