Anatomy of a strong residual sign problem on the thimbles

Bloch, Jacques (2018) Anatomy of a strong residual sign problem on the thimbles. PHYSICAL REVIEW D, 98 (11): 114502. ISSN 2470-0010, 2470-0029

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Abstract

Using a simple Gaussian-like Ansatz for the phase distribution of a theory with a complex action, we show how the thimble integration for the average phase factor can be plagued by a strong residual sign problem when the phase of the complex integration measure conspires with the constant phase of the integrand along the thimble. This strong sign problem prohibits the accurate computation of the average phase factor when it becomes exponentially small, and causes a strong sensitivity to the parameters describing the phase distribution.

Item Type: Article
Uncontrolled Keywords: QCD;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Oct 2019 06:56
Last Modified: 04 Oct 2019 06:56
URI: https://pred.uni-regensburg.de/id/eprint/13366

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