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arxiv: 0905.1025 · v2 · submitted 2009-05-07 · ❄️ cond-mat.stat-mech · hep-th

Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation

classification ❄️ cond-mat.stat-mech hep-th
keywords equationgroupkardar-parisi-zhangnon-perturbativephaserenormalizationapproachapproximation
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We present a simple approximation of the non-perturbative renormalization group designed for the Kardar-Parisi-Zhang equation and show that it yields the correct phase diagram, including the strong-coupling phase with reasonable scaling exponent values in physical dimensions. We find indications of a possible qualitative change of behavior around $d=4$. We discuss how our approach can be systematically improved.

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