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For a scalar theory whose classical scale invariance is broken by quantumeffects, we compute self-consistent bounce solutions and Green's functions.Deriving analytic expressions, we find that the latter are similar to theGreen's functions in the archetypal thin-wall model for tunneling betweenquasi-degenerate vacua. The eigenmodes and eigenspectra are, however, verydifferent. Large infrared effects from the modes of low angular momentum $j=0$and $j=1$, which include the approximate dilatational modes for $j=0$, aredealt with by a resummation of one-loop effects. For a parametric example, thisresummation is carried out numerically.

Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models