We investigate analytically the large dimensional behavior of the Kardar-Parisi-Zhang (KPZ) dynamics of surface growth using a recently proposed nonperturbative renormalization for self-affine surface dynamics. Within this framework, we show that the roughness exponent {α} decays not faster than α~1/d for large $d.$ This implies the absence of a finite upper critical dimension.
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Castellano et al. (1998) studied this question.
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