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タイトル: | Parallel tempering algorithm for integration over Lefschetz thimbles |
著者: | Fukuma, Masafumi https://orcid.org/0000-0001-8146-5034 (unconfirmed) Umeda, Naoya |
著者名の別形: | 福間, 將文 梅田, 直弥 |
キーワード: | A22 Monte-Carlo simulations B38 Lattice field theories D34 Lattice QCD calculations in nuclear physics |
発行日: | 14-Jul-2017 |
出版者: | Oxford University Press (OUP) |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2017 |
号: | 7 |
論文番号: | 073B01 |
抄録: | 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. |
著作権等: | © The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3 |
URI: | http://hdl.handle.net/2433/226454 |
DOI(出版社版): | 10.1093/ptep/ptx081 |
出現コレクション: | 学術雑誌掲載論文等 |
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