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arXiv 1703.02414hep-lat
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顶针之间的回火过渡

Tempered transitions between thimbles

Andrei Alexandru, Gokce Basar, Paulo F. Bedaque, Neill C. Warrington

摘要:

由于符号问题,具有复杂作用量的量子场论不能使用重要性抽样来研究。一种可能的解决方案是使用全纯梯度流,我们介绍了一种与莱夫谢茨顶针思想有关的方法。在许多情况下,该方法生成的概率分布是多模态的,并且标准蒙特卡罗抽样失败。我们提出了一个算法,采用回火的建议来解决这个问题。我们将此算法应用于0+1维Thirring模型在有限密度的参数集,标准采样失败,并表明回火建议解决这个问题。

英文摘要:

Quantum field theories with complex actions cannot be investigated using importance sampling due to the sign problem. One possible solution is to use the holomorphic gradient flow, a method we introduced related to the Lefschetz thimbles idea. In many cases the probability distribution generated by this method is multi-modal and standard Monte-Carlo sampling fails. We propose an algorithm that incorporates tempered proposals to solve this problem. We apply this algorithm to the 0+1 dimensional Thirring model at finite density for a parameter set where standard sampling fails and show that tempered proposals cure this problem.

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。

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