复Langevin方法中奇异漂移项问题的新认识
New insights into the problem with a singular drift term in the complex Langevin method
摘要：
复朗之万方法的目的是在对原始实动力学变量进行复化的基础上，用复作用量数值地进行路径积分。其中一个知之甚少的问题是，在作用量中存在对数奇点时，偶尔会出现故障，例如，在有限密度QCD中的费米子行列式。我们指出，故障应归因于故障之间的关系，满足福克-普朗克方程的复重量和概率分布与随机过程。实际上，当随机过程包含奇异漂移项时，通常会出现这个问题。然而，我们表明，在一个简单的例子中，存在一个参数区域中的方法的工作原理，虽然标准的重新加权方法是几乎不适用。
英文摘要：
The complex Langevin method aims at performing path integral with a complex action numerically based on complexification of the original real dynamical variables. One of the poorly understood issues concerns occasional failure in the presence of logarithmic singularities in the action, which appear, for instance, from the fermion determinant in finite density QCD. We point out that the failure should be attributed to the breakdown of the relation between the complex weight that satisfies the Fokker-Planck equation and the probability distribution associated with the stochastic process. In fact, this problem can occur in general when the stochastic process involves a singular drift term. We show, however, in a simple example that there exists a parameter region in which the method works although the standard reweighting method is hardly applicable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
