Comparison of perturbative RG theory with lattice data for the 4d Ising model
Abstract
Predictions for (phi4)4 theory from renormalization-group-improved perturbation theory, as formulated by Luescher and Weisz, are compared to published (and some unpublished) data from lattice Monte-Carlo simulations of the 4-dimensional Ising model. Good agreement is found in all but one respect:-- the change in the wavefunction-renormalization constant ZR across the phase transition is significantly greater than predicted. A related observation is that propagator data in the broken phase show deviations from free-propagator form -- deviations that become larger, not smaller, closer to the continuum limit. More data closer to the critical point are needed to clarify the situation.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.