Reweighting Lefschetz Thimbles
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 parame...
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| Format: | Article |
| Language: | English |
| Published: |
SciPost
2018-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.5.5.044 |
| _version_ | 1819059919576367104 |
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| author | Stefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. Ziegler |
| author_facet | Stefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. Ziegler |
| author_sort | Stefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. Ziegler |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T14:18:45Z |
| format | Article |
| id | doaj.art-1db365e0acfa4a52be93559d69ffe2d6 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-21T14:18:45Z |
| publishDate | 2018-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-1db365e0acfa4a52be93559d69ffe2d62022-12-21T19:00:50ZengSciPostSciPost Physics2542-46532018-11-015504410.21468/SciPostPhys.5.5.044Reweighting Lefschetz ThimblesStefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. ZieglerOne 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.https://scipost.org/SciPostPhys.5.5.044 |
| spellingShingle | Stefan Bluecher, Jan M. Pawlowski, Manuel Scherzer, Mike Schlosser, Ion-Olimpiu Stamatescu, Sebastian Syrkowski, Felix P. G. Ziegler Reweighting Lefschetz Thimbles SciPost Physics |
| title | Reweighting Lefschetz Thimbles |
| title_full | Reweighting Lefschetz Thimbles |
| title_fullStr | Reweighting Lefschetz Thimbles |
| title_full_unstemmed | Reweighting Lefschetz Thimbles |
| title_short | Reweighting Lefschetz Thimbles |
| title_sort | reweighting lefschetz thimbles |
| url | https://scipost.org/SciPostPhys.5.5.044 |
| work_keys_str_mv | AT stefanbluecherjanmpawlowskimanuelscherzermikeschlosserionolimpiustamatescusebastiansyrkowskifelixpgziegler reweightinglefschetzthimbles |