Janssen, H. K.Täuber, Uwe C.Frey, E.2016-09-292016-09-291999-06-011434-6028http://hdl.handle.net/10919/73069We investigate the Kardar–Parisi–Zhang (KPZ) equation in d spatial dimensions with Gaussian spatially long–range correlated noise — characterized by its second moment R(x− x′) ∝ |x−x ′|^2ρ−d — by means of dynamic field theory and the renormalization group. Using a stochastic Cole–Hopf transformation we derive exact exponents and scaling functions for the roughening transition and the smooth phase above the lower critical dimension d_c = 2(1 + ρ). Below the lower critical dimension, there is a line ρ_∗(d) marking the stability boundary between the short-range and long-range noise fixed points. For ρ ≥ ρ_∗(d), the general structure of the renormalization-group equations fixes the values of the dynamic and roughness exponents exactly, whereas above ρ_∗(d), one has to rely on some perturbational techniques. We discuss the location of this stability boundary ρ_∗(d) in light of the exact results derived in this paper, and from results known in the literature. In particular, we conjecture that there might be two qualitatively different strong-coupling phases above and below the lower critical dimension, respectively.491 - 511 (21) page(s)application/pdfenIn CopyrightPhysics, Condensed MatterPhysicsRENORMALIZATION-GROUP ANALYSISSTOCHASTIC BURGERS-EQUATIONUPPER CRITICAL DIMENSIONLONG-RANGE INTERACTIONSDIRECTED POLYMERSINTERFACE GROWTHRANDOM-MEDIACRITICAL EXPONENTSSURFACE GROWTHFIELD-THEORYArticle - Refereedhttps://doi.org/10.1007/s10051005079093