Comparison of perturbative RG theory with lattice data for the 4d Ising model

Abstract

Predictions for (phi^4)_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perturbation theory, as formulated by Luescher and Weisz, are compared to published (and some unpublished) data from lattice Monte-Carlo simulations of the 4-dimensional Ising model.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 Z_R 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.

23 pages, 12 figures

References in corpus (2)

• Physical mechanisms generating spontaneous symmetry breaking and a hierarchy of scales
• The 4d one component lattice ${\varphi }^4$ model in the broken phase revisited

Cited by in corpus (12)

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• Repairing Stevenson's step in the 4d Ising model
• Renormalization-Group flow for the field strength in scalar self-interacting theories
• An alternative heavy Higgs mass limit
• The mass scales of the Higgs field
• Do 1/r potentials require massless particles ?
• On the low-energy spectrum of spontaneously broken Φ^4 theories
• Spectrum in the broken phase of a $\lambda {\varphi }^4$ theory
• Second resonance of the Higgs field: motivations, experimental signals, unitarity constraints