AI 中文总结
研究针对量子统计力学的费曼路径积分进行高斯重整化，通过晶格上环聚合物统计和维格纳 - 柯克伍德函数高温展开获方差均值，避免传统问题，给出氦第二维里系数的解析与模拟结果并与实验比较。
AI 中文摘要
量子统计力学的费曼路径积分被重新表述为对每个位置构型邻域的高斯采样。方差和均值分别从晶格上的环聚合物统计以及维格纳 - 柯克伍德对易函数的高温展开中获得。该算法避免了每个构型的多个温度节点以及统计平均中的数值抵消问题，而这对传统路径积分量子蒙特卡罗来说是有问题的。将氦的第二维里系数的解析和模拟结果与实验室测量进行了比较。
英文摘要
The Feynman path integral for quantum statistical mechanics is reformulated as Gaussian sampling of the neighborhood of each position configuration. The variance and mean are obtained from ring polymer statistics on a lattice, and from the high temperature expansion of the Wigner-Kirkwood commutation function, respectively. The algorithm avoids multiple temperature nodes for each configuration and the need for numerical cancelation in the statistical averages, which are problematic for conventional path integral quantum Monte Carlo. Analytic and simulation results for the second virial coefficient of helium are compared to laboratory measurements.
Comments12 pages, 2 figures
