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タイトル: Statistical analysis method for the worldvolume hybrid Monte Carlo algorithm
著者: Fukuma, Masafumi  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0001-8146-5034 (unconfirmed)
Matsumoto, Nobuyuki
Namekawa, Yusuke
著者名の別形: 福間, 将文
松本, 信行
滑川, 裕介
キーワード: A20 The algorithm of numerical calculations
A22 Monte-Carlo simulations
A23 Molecular dynamics simulations
B01 Spontaneous symmetry breaking
B38 Lattice field theories
発行日: Dec-2021
出版者: Oxford University Press (OUP)
Physical Society of Japan
誌名: Progress of Theoretical and Experimental Physics
巻: 2021
号: 12
論文番号: 123B02
抄録: We discuss the statistical analysis method for the worldvolume hybrid Monte Carlo (WV-HMC) algorithm [M. Fukuma and N. Matsumoto, Prog. Theor. Exp. Phys. 2021, 023B08 (2021)], which was recently introduced to substantially reduce the computational cost of the tempered Lefschetz thimble method. In the WV-HMC algorithm, the configuration space is a continuous accumulation (worldvolume) of deformed integration surfaces, and sample averages are considered for various subregions in the worldvolume. We prove that, if a sample in the worldvolume is generated as a Markov chain, then the subsample in the subregion can also be regarded as a Markov chain. This ensures the application of the standard statistical techniques to the WV-HMC algorithm. We particularly investigate the autocorrelation times for the Markov chains in various subregions, and find that there is a linear relation between the probability of being in a subregion and the autocorrelation time for the corresponding subsample. We numerically confirm this scaling law for a chiral random matrix model.
著作権等: © The Author(s) 2021. 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, 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/2433/276918
DOI(出版社版): 10.1093/ptep/ptab133
出現コレクション:学術雑誌掲載論文等

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