Toward solving the sign problem with path optimization method

• 森, 勇登

  Department of Physics, Faculty of Science, Kyoto University

• 柏, 浩司

  Yukawa Institute for Theoretical Physics, Kyoto University

• 大西, 明

  Yukawa Institute for Theoretical Physics, Kyoto University

抄録

We propose a new approach to circumvent the sign problem in which the integration path is optimized to control the sign problem. We give a trial function specifying the integration path in the complex plane and tune it to optimize the cost function which represents the seriousness of the sign problem. We call it the path optimization method. In this method, we do not need to solve the gradient flow required in the Lefschetz-thimble method and then the construction of the integration-path contour arrives at the optimization problem where several efficient methods can be applied. In a simple model with a serious sign problem, the path optimization method is demonstrated to work well; the residual sign problem is resolved and precise results can be obtained even in the region where the global sign problem is serious.

収録刊行物

• Physical Review D

  Physical Review D 96 (11), 2017-12-01

  American Physical Society (APS)

詳細情報

• CRID: 1050845760790510720
• NII論文ID: 120006496962
• ISSN: 24700010
• HANDLE: 2433/233200
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles