期刊
PHYSICAL REVIEW D
卷 96, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.96.111501
关键词
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资金
- JSPS [15K05079, 15H03663, 16K05350]
- MEXT [24105001, 24105008]
- Yukawa International Program for Quark-hadron Sciences (YIPQS)
- Grants-in-Aid for Scientific Research [15K05079, 24105001, 24105008, 15H03663, 16K05350] Funding Source: KAKEN
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.
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