Tempered Lefschetz thimble method as a solution to the numerical sign problem

Author:

Fukuma Masafumi,Matsumoto Nobuyuki

Abstract

Abstract We review the tempered Lefschetz thimble method and its extension, which was recently proposed as a versatile solution to the numerical sign problem. We exemplify the effectiveness of the method by its successful application to a chiral random matrix model.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference15 articles.

1. New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble;Cristoforetti;Phys. Rev. D,2012

2. Hybrid Monte Carlo on Lefschetz thimbles - A study of the residual sign problem;Fujii;JHEP,2013

3. Sign problem and Monte Carlo calculations beyond Lefschetz thimbles;Alexandru;JHEP,2016

4. Parallel tempering algorithm for integration over Lefschetz thimbles;Fukuma;PTEP,2017

5. Tempered transitions between thimbles;Alexandru;Phys. Rev. D,2017

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