Reweighting Lefschetz Thimbles

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

Reweighting Lefschetz Thimbles

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arxiv 1803.08418 v2 pith:3IATOBMR submitted 2018-03-22 hep-lat hep-phhep-th

Stefan Bluecher , Jan M. Pawlowski , Manuel Scherzer , Mike Schlosser , Ion-Olimpiu Stamatescu , Sebastian Syrkowski , Felix P.G. Ziegler This is my paper · ORCID

classification hep-lathep-phhep-th

keywords thimbleslefschetzmodelreweightingweightsanti-thimblesapproachesbesides

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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 thimble-inspired weight regularizations for complex Langevin simulations
hep-lat 2024-12 conditional novelty 7.0 of 10

A single compact Lefschetz thimble restores correct complex Langevin convergence, and a Dyson-Schwinger bias correction recovers the original expectation values.

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