Bulletin of the American Physical Society
5th Joint Meeting of the APS Division of Nuclear Physics and the Physical Society of Japan
Volume 63, Number 12
Tuesday–Saturday, October 23–27, 2018; Waikoloa, Hawaii
Session ME: QCD Theory II
2:00 PM–4:30 PM,
Saturday, October 27, 2018
Hilton Room: King's 1
Chair: Atsushi Hosaka, Osaka University
Abstract ID: BAPS.2018.HAW.ME.2
Abstract: ME.00002 : Path optimization in field theories with sign problem*
2:15 PM–2:30 PM
(Fukuoka Institute of Technology)
(Yukawa Institute for Theoretical Physics, Kyoto University)
In order to avoid the sign problem appearing in some field theories such as finite density QCD, we have proposed the path optimization method [1-3]. In this method, the integral path in the complexified variable space is parametrized and optimized variationally to minimize the cost function representing the seriousness of the sign problem. Then the sign problem can be regarded as an optimization problem, in which various optimization techniques such as the machine learning are available.
The path optimization method have been applied to a one dimensional integral , finite density complex scalar field , and the Polyakov loop extended Nambu-Jona-Lasinio model . In these cases, the average phase factor is enhanced significantly. In the presentation, we discuss the sign problem in finite density complex scalar field theory  and the 0+1 dimensional QCD.
 Y. Mori, K. Kashiwa, A. Ohnishi, Phys. Rev. D 96 (2017), 111501(R).
 Y. Mori, K. Kashiwa, A. Ohnishi, PTEP 2018 (2018), 023B04.
 K. Kashiwa, Y. Mori, A. Ohnishi, arXiv: 1805.08940 [hep-ph].
*This work is supported in part by the Grants-in-Aid for Scientific Research from JSPS (No. 18J21251, 18K03618, 15H03663, and 16K05350).
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.HAW.ME.2
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