Field-theoretical approach to critical phenomena

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Abstract
The study of the Wegner-Houghton equation in the local-potential approximation yields infrared-stable renormalization-group trajectories that are rejected by field theory. The most stable one corresponds to an approach to the infrared-stable fixed point from the unusual side, yielding negative correction-to-scaling amplitudes as already observed in a binary mixture. We also show how this affects the analysis made by Baker and Kincaid, who concluded that the field-theoretic framework fails in describing the critical behavior of the spin-(1/2 Ising model at d=3.