Adaptive stepsize and instabilities in complex Langevin dynamics
Adaptive stepsize and instabilities in complex Langevin dynamics
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DOI：
10.1016/j.physletb.2010.03.012
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发表时间：
2010-04-12
影响因子：
4.4
通讯作者：
Stamatescu, Ion-Olimpiu
中科院分区：
文献类型：
--
作者：
Aarts, Gert;James, Frank A.;Stamatescu, Ion-Olimpiu
随机量子化提供了用复杂作用量来模拟场论的机会。在某些理论中，当采用恒定步长时，不稳定轨迹是普遍存在的。我们构造算法生成一个自适应步长在复杂的Langevin模拟，并发现不稳定的轨迹被完全消除。为了说明该方法的通用性，我们将其应用到三维XY模型在非零化学势和QCD的重密极限。(C)2010 Elsevier B.V.保留所有权利。
Stochastic quantization offers the opportunity to simulate field theories with a complex action. In some theories unstable trajectories are prevalent when a constant stepsize is employed. We construct algorithms for generating an adaptive stepsize in complex Langevin simulations and find that unstable trajectories are completely eliminated. To illustrate the generality of the approach, we apply it to the three-dimensional XY model at nonzero chemical potential and the heavy dense limit of QCD. (C) 2010 Elsevier B.V. All rights reserved.