Complex saddle points and the sign problem in complex Langevin simulation

Tomoya Hayata, Yoshimasa Hidaka, Yuya Tanizaki

研究成果: Article査読

22 被引用数 (Scopus)

抄録

We show that complex Langevin simulation converges to a wrong result within the semiclassical analysis, by relating it to the Lefschetz-thimble path integral, when the path-integral weight has different phases among dominant complex saddle points. Equilibrium solution of the complex Langevin equation forms local distributions around complex saddle points. Its ensemble average approximately becomes a direct sum of the average in each local distribution, where relative phases among them are dropped. We propose that by taking these phases into account through reweighting, we can solve the wrong convergence problem. However, this prescription may lead to a recurrence of the sign problem in the complex Langevin method for quantum many-body systems.

本文言語English
ページ(範囲)94-105
ページ数12
ジャーナルNuclear Physics B
911
DOI
出版ステータスPublished - 2016 10 1
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

フィンガープリント

「Complex saddle points and the sign problem in complex Langevin simulation」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル