On Critical Exponents and the Renormalization of the Coupling Constant in Growth Models with Surface Diffusion

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, revtex, 2 postscript figures, to appear in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.78.1082

It is shown by the method of renormalized field theory that in contrast to a statement based on a mathematically ill-defined invariance transformation and found in most of the recent publications on growth models with surface diffusion, the coupling constant of these models renormalizes nontrivially. This implies that the widely accepted supposedly exact scaling exponents are to be corrected. A two-loop calculation shows that the corrections are small and these exponents seem to be very good approximations.

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