固定不动点系统--动态重整化群在长程相互作用系统中的应用
Fixing the fixed-point system - Applying Dynamic Renormalization Group to systems with long-range interactions
摘要：
本文提出了一种使用动态重整化群（DRG）方法的模式，以解决将其应用于连续族一维非定域模型时所得结果不一致的问题。关键的观察是，正确的固定点动力系统必须在分析过程中确定，以考虑重整化下产生的所有相关项。这对于静态问题来说是很好的，但是在动态问题中实施得很差。应用这种方法的Kardar-Parisi-Zhang方程的非局部扩展解决了一维的某些问题。也就是说，显然有问题的预测被淘汰，并恢复现有的准确的分析结果。
英文摘要：
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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