Global stationary phase and the sign problem.
Global stationary phase and the sign problem.
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全局平稳相位和符号问题。
DOI：
10.1103/physrevlett.91.150201
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发表时间：
2003
影响因子：
8.6
通讯作者：
G. Fredrickson
中科院分区：
文献类型：
--
作者：
A. Moreira;S. A. Baeurle;G. Fredrickson
提出了一种计算策略，用于简化对数为解析的非正定权高维积分求值中的符号问题。该方法涉及具有正半定权的随机抽样，该权在模拟过程中自适应和最优确定。最优判据由解析作用S(z)的变分原理得出，是相位ImS沿采样路径的平均梯度消失的全局平稳相位条件。根据经典流体的统计场理论，给出了一个模型的数值模拟结果。
We present a computational strategy for reducing the sign problem in the evaluation of high dimensional integrals with nonpositive definite weights whose logarithms are analytic. The method involves stochastic sampling with a positive semidefinite weight that is adaptively and optimally determined during the course of a simulation. The optimal criterion, which follows from a variational principle for analytic actions S(z), is a global stationary phase condition that the average gradient of the phase ImS along the sampling path vanishes. Numerical results are presented from simulations of a model adapted from statistical field theories of classical fluids.