Anatomy of a strong residual sign problem on the thimbles

Bloch, Jacques (Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany)

07 December 2018

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.

Published in: Physical Review D 98 (2018)
Published by: APS
DOI: 10.1103/PhysRevD.98.114502
arXiv: 1808.00882
License: CC-BY-4.0

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