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

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perturbation theory, as formulated by Luescher and Weisz, are compared to published (and some unpublished) data from lattice Monte-Carlo simulations of the 4-dimensional Ising model.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

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P. M. Stevenson. 2005-09-11. Comparison of perturbative RG theory with lattice data for the 4d Ising model. https://doi.org/10.1016/j.nuclphysb.2005.09.015

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