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2017

Tempered transitions between thimbles

Alexandru, Andrei, Basar, Gokce, Bedaque, Paulo F. et al.

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Quantum field theories with complex actions cannot be investigated using importance sampling due to the sign problem.

One possible solution is to use the holomorphic gradient flow, a method we introduced related to the Lefschetz thimbles idea.
In many cases the probability distribution generated by this method is multi-modal and standard Monte-Carlo sampling fails.
We propose an algorithm that incorporates tempered proposals to solve this problem.

Tempered transitions between thimbles · Around

Built on

R. M. Neal, Sampling from multimodal distributions using tempered transitions
1996
Earlier work this paper cites.
AuroraScience
Original
2012
Earlier work this paper cites.
M. Cristoforetti, F. Di Renzo, A. Mukherjee, and L. Scorzato, Monte Carlo simulations on the Lefschetz thimble: Taming the sign problem
Original
2013
Earlier work this paper cites.
A. Mukherjee, M. Cristoforetti, and L. Scorzato, Metropolis Monte Carlo integration on the Lefschetz thimble: Application to a one-plaquette model
Original
2013
Earlier work this paper cites.

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Then

A. Alexandru, G. Basar, P. F. Bedaque, G. W. Ridgway, and N. C. Warrington, Sign problem and Monte Carlo calculations beyond Lefschetz thimbles
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Later among the works it cites.
Y. Tanizaki, Y. Hidaka, and T. Hayata, Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model
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A. Alexandru, G. Basar, P. F. Bedaque, G. W. Ridgway, and N. C. Warrington, Monte Carlo calculations of the finite density Thirring model
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Closest in time.
arXiv:1701.08959
Original
C. Schmidt and F. Ziesché, Simulating low dimensional QCD with Lefschetz thimbles · 2017
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