论文标题
扰动删除标志问题
Perturbative Removal of a Sign Problem
论文作者
论文摘要
本文提出了一种减轻晶格路径积分中标志问题的方法，包括与相对论系统中有限费米密度相关的方法。该方法利用从某种系统的扩展（例如扰动理论）中获得的信息来加速蒙特卡洛。该方法是准确的，从某种意义上说，没有引入与晶格路径积分的近似值。得益于基本的系统扩展，该方法在系统上可以改进，因此可以原则上获得符号问题的任意减少。轮廓模型（在0 + 1和1 + 1维度中）用于证明该方法减少有限密度符号问题的能力。
This paper presents a method for alleviating sign problems in lattice path integrals, including those associated with finite fermion density in relativistic systems. The method makes use of information gained from some systematic expansion -- such as perturbation theory -- in order to accelerate the Monte Carlo. The method is exact, in the sense that no approximation to the lattice path integral is introduced. Thanks to the underlying systematic expansion, the method is systematically improvable, so that an arbitrary reduction in the sign problem can in principle be obtained. The Thirring model (in 0 + 1 and 1 + 1 dimensions) is used to demonstrate the ability of this method to reduce the finite-density sign problem.
