Fixing the fixed-point system - Dynamic Renormalization Group revisited

Details Fixing the fixed-point system - Dynamic Renormalization Group revisited Fixing the fixed-point system - Dynamic Renormalization Group revisited

2007-10-25

arxiv.org/abs/0710.4957v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure

Scientific paper

In this paper a mode of using the Dynamic Renormalization Group (DRG) method is suggested in order to cope with inconsistent results obtained when applying it to a continuous family of one-dimensional nonlocal models. The key observation is that the correct fixed-point dynamical system has to be identified during the analysis in order to account for all the relevant terms that are generated under renormalization. This is well established for static problems, however poorly implemented in dynamical ones. An application of this approach to a nonlocal extension of the Kardar-Parisi-Zhang equation resolves certain problems in one-dimension. Namely, obviously problematic predictions are eliminated and the existing exact analytic results are recovered.

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