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Reweighting Lefschetz Thimbles

by Stefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. Ziegler

This Submission thread is now published as SciPost Phys. 5, 044 (2018)

Submission summary

As Contributors: Felix Ziegler
Arxiv Link: (pdf)
Date accepted: 2018-10-23
Date submitted: 2018-10-05 02:00
Submitted by: Ziegler, Felix
Submitted to: SciPost Physics
Academic field: Physics
  • High-Energy Physics - Theory
  • Nuclear Physics - Theory
Approaches: Theoretical, Computational


One of the main challenges in simulations on Lefschetz thimbles is the computation of the relative weights of contributing thimbles. In this paper we propose a solution to that problem by means of computing those weights using a reweighting procedure. Besides we present recipes for finding parametrizations of thimbles and anti-thimbles for a given theory. Moreover, we study some approaches to combine the Lefschetz thimble method with the Complex Langevin evolution. Our numerical investigations are carried out by using toy models among which we consider a one-site z^4 model as well as a U(1) one-link model.

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Lefschetz thimbles

Published as SciPost Phys. 5, 044 (2018)

Author comments upon resubmission

This resubmission incorporates changes in answer to two referee reports.

List of changes

- updates on the list of references
- detailed comments on the scalability of the methods

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