Reweighting Lefschetz Thimbles

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

doi:10.21468/SciPostPhys.5.5.044

SciPost Physics

Reweighting Lefschetz Thimbles

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

SciPost Phys. 5, 044 (2018) · published 5 November 2018

doi: 10.21468/SciPostPhys.5.5.044
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.5.5.044
TI  - Reweighting Lefschetz Thimbles
PY  - 2018/11/05
UR  - https://scipost.org/SciPostPhys.5.5.044
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 5
IS  - 5
SP  - 044
A1  - Bluecher, Stefan
AU  - Pawlowski, Jan M.
AU  - Scherzer, Manuel
AU  - Schlosser, Mike
AU  - Stamatescu, Ion-Olimpiu
AU  - Syrkowski, Sebastian
AU  - Ziegler, Felix
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.5.5.044,
	title={{Reweighting Lefschetz Thimbles}},
	author={Stefan Bluecher and Jan M. Pawlowski and Manuel Scherzer and Mike Schlosser and Ion-Olimpiu Stamatescu and Sebastian Syrkowski and Felix P. G. Ziegler},
	journal={SciPost Phys.},
	volume={5},
	pages={044},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.5.5.044},
	url={https://scipost.org/10.21468/SciPostPhys.5.5.044},
}

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Kades et al., Monte Carlo sampling of complex actions in extended state spaces
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Ulybyshev et al., The Use of Neural Networks to Solve the Sign Problem in Physical Models
Phys. Part. Nuclei 51, 363 (2020) [Crossref]
Bazavov et al., Hot-dense Lattice QCD
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Ulybyshev et al., Lefschetz thimbles decomposition for the Hubbard model on the hexagonal lattice
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Carmen Bañuls et al., Review on novel methods for lattice gauge theories
Rep. Prog. Phys. 83, 024401 (2020) [Crossref]
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Mishchenko et al., Quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
Phys. Rev. D 104, 074517 (2021) [Crossref]
Kanwar et al., Real-time lattice gauge theory actions: Unitarity, convergence, and path integral contour deformations
Phys. Rev. D 104, 014513 (2021) [Crossref]

Ontology / Topics

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Lefschetz thimbles

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Stefan Bluecher,
¹ ² Jan M. Pawlowski,
¹ Manuel Scherzer,
¹ Mike Schlosser,
¹ Ion-Olimpiu Stamatescu,
¹ Sebastian Syrkowski,
¹ Felix Ziegler

Funders for the research work leading to this publication