A second-order mean-field truncation of the phi^4_4 Wilson-Polchinski hierarchy is shown to have smooth solutions that converge to the Gaussian fixed point for any positive bare coupling.
On the Triviality of _d^4 Theories and the Approach to the Critical Point in d 4 Dimensions
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Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$
A second-order mean-field truncation of the phi^4_4 Wilson-Polchinski hierarchy is shown to have smooth solutions that converge to the Gaussian fixed point for any positive bare coupling.