  It is pointed out that increasingly attractive interactions, represented by
partially concave local potential in the Lagrangian, may lead to the degeneracy
of the blocked, renormalized action at the gliding cutoff scale by tree-level
renormalization. A quantum counterpart of this mechanism is presented in the
two-dimensional sine-Gordon model. The presence of Quantum Censorship is
conjectured which makes the loop contributions pile up during the
renormalization and thereby realize an approximate semiclassical effect.
