Abstract
An exact relation between the Green's function and the dressed three-point vertex function Γ was found for the Langevin equations describing surface growth with diffusion in 1 + d dimensions. This relation follows from a hidden symmetry of the problem with a gauge function depending on time only and turns out to be exactly the same as that found by Lebedev and L'vov for the Kardar-Parisi-Zhang (KPZ) equation of surface roughening. By a similar analysis as was done for the KPZ equation we conclude that in the region of strong coupling Γ − Γ ∼ 0.1 Γ 0, where Γ 0 is the bare value of the vertex Γ.
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