論文

査読有り
2017年7月

Parallel tempering algorithm for integration over Lefschetz thimbles

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
  • Masafumi Fukuma
  • ,
  • Naoya Umeda

2017
7
開始ページ
073B01
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1093/ptep/ptx081
出版者・発行元
OXFORD UNIV PRESS INC

The algorithm based on integration over Lefschetz thimbles is a promising method to resolve the sign problem for complex actions. However, this algorithm often meets a difficulty in actual Monte Carlo calculations because the configuration space is not easily explored due to the infinitely high potential barriers between different thimbles. In this paper, we propose to use the flow time of the antiholomorphic gradient flow as an auxiliary variable for the highly multimodal distribution. To illustrate this, we implement the parallel tempering method by taking the flow time as a tempering parameter. In this algorithm, we can take the maximum flow time to be sufficiently large such that the sign problem disappears there, and two separate modes are connected through configurations at small flow times. To exemplify that this algorithm does work, we investigate the (0 + 1)-dimensional massive Thirring model at finite density and show that our algorithm correctly reproduces the analytic results for large flow times such as T = 2.

Web of Science ® 被引用回数 : 22

リンク情報
DOI
https://doi.org/10.1093/ptep/ptx081
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000406608800002&DestApp=WOS_CPL
URL
http://orcid.org/0000-0001-8146-5034

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