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We show that in applications of variational theory to quantum field theory itis essential to account for the correct Wegner exponent omega governing theapproach to the strong-coupling, or scaling limit. Otherwise the procedureeither does not converge at all or to the wrong limit. This invalidates allpapers applying the so-called delta-expansion to quantum field theory.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Dependence of variational perturbation expansions on strong-coupling behavior: Inapplicability of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>expansion to field theory

Dependence of variational perturbation expansions on strong-coupling behavior: Inapplicability ofδexpansion to field theory