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

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

2005-07-27

arxiv.org/abs/hep-lat/0507038v2

Nucl.Phys. B729 (2005) 542-557

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 12 figures

Scientific paper

10.1016/j.nuclphysb.2005.09.015

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perturbation theory, as formulated by Luescher and Weisz, are compared to published (and some unpublished) data from lattice Monte-Carlo simulations of the 4-dimensional Ising model.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

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