Frey, E.Täuber, Uwe C.Janssen, H. K.2016-09-302016-09-301999-07-010295-5075http://hdl.handle.net/10919/73088We study the scaling regimes for the Kardar–Parisi–Zhang equation with noise correlator R(q) ∝ (1 + w q<sup>−2ρ</sup> ) in Fourier space, as a function of ρ and the spatial dimension d. By means of a stochastic Cole–Hopf transformation, the critical and correction-to-scaling exponents at the roughening transition are determined to all orders in a (d−d<sub>c</sub>) expansion. We also argue that there is a intriguing possibility that the rough phases above and below the lower critical dimension d<sub>c</sub> = 2(1 + ρ) are genuinely different which could lead to a re-interpretation of results in the literature.14 - 20 (7) page(s)enIn CopyrightPhysics, MultidisciplinaryPhysicsRENORMALIZATION-GROUP ANALYSISBURGERS-EQUATIONINTERFACE GROWTHDIRECTED POLYMERSCORRELATED NOISEEXPONENTSMANIFOLDSScaling regimes and critical dimensions in the Kardar-Parisi-Zhang problemArticle - RefereedEurophysics Lettershttps://doi.org/10.1209/epl/i1999-00343-4471