Simulating gauge theories on Lefschetz thimbles

Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P.G. Ziegler, Felix Ziesché*

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Abstrakt

Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling β and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the theory on the union of the tangential manifolds to the thimbles. We construct a local Metropolis-type algorithm, that is constrained to a specific tangential manifold. We also discuss how, starting from this result, successive subleading tangential manifolds can be taken into account via a reweighting approach. We demonstrate the algorithm on U(1) gauge theory in 1+1 dimensions and investigate the residual sign problem.

OriginalsprogEngelsk
Artikelnummer223
TidsskriftProceedings of Science
Vol/bind363
Antal sider7
ISSN1824-8039
DOI
StatusUdgivet - aug. 2020
Begivenhed37th International Symposium on Lattice Field Theory, LATTICE 2019 - Wuhan, Kina
Varighed: 16. jun. 201922. jun. 2019

Konference

Konference37th International Symposium on Lattice Field Theory, LATTICE 2019
Land/OmrådeKina
ByWuhan
Periode16/06/201922/06/2019

Bibliografisk note

Funding Information:
†The authors C. Schmidt and F. Ziesché acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the CRC-TR 211 ’Strong-interaction matter under extreme conditions’ project number 315477589 TRR 211. This work is further supported by EMMI, the BMBF grant 05P18VHFCA and is part of and supported by the DFG Collaborative Research Centre SFB 1225 (ISOQUANT) as well as by DFG under Germany’s Excellence Strategy EXC-2181/1-390900948 (the Heidelberg Excellence Cluster STRUCTURES). M. Scherzer acknowledges support from DFG under grant STA 283/16-2. F. P. G. Ziegler is supported by Heidelberg University. Additionally we thank Andrei Alexandru, I.O. Stamatescu and Alexander Lindemeier for helpful discussions.

Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

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