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Toward solving the sign problem with path optimization method · Around

2017

Toward solving the sign problem with path optimization method

Mori, Yuto, Kashiwa, Kouji, Ohnishi, Akira

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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.

Built on

G. Parisi and Y.-s. Wu, Sci.Sin. 24
1981
Earlier work this paper cites.
G. Parisi, Phys.Lett. B131
1983
Earlier work this paper cites.
F. Pham, in Proc. Symp. Pure Math (AMS, 1983), 40, pp. 319–333
1983
Earlier work this paper cites.
P. de Forcrand, PoS LAT2009
2009
Earlier work this paper cites.

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Original
2017
Closest in time.

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