符号问题的微扰去除

S. Lawrence
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引用次数: 5

摘要

本文提出了一种减轻晶格路径积分中符号问题的方法,包括与相对论系统中有限费米子密度有关的符号问题。该方法利用从某些系统展开(如摄动理论)中获得的信息来加速蒙特卡罗。该方法是精确的,因为没有引入晶格路径积分的近似。由于潜在的系统扩展,该方法是系统改进的,因此原则上可以得到符号问题的任意约简。使用Thirring模型(0 + 1和1 + 1维度)来证明该方法能够减少有限密度符号问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Perturbative removal of a sign problem
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.
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