Abstract
Predictions for ( ϕ 4 ) 4 theory from renormalization-group-improved perturbation theory, as formulated by Lüscher and Weisz, are compared to published (and some unpublished) data from lattice Monte Carlo simulations of the 4-dimensional Ising model.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 ˆ 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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