Simulating gauge theories on Lefschetz thimbles
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 $\beta$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the...
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| Main Authors: | , , , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
27 Jan 2020
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| In: |
Arxiv
Year: 2020, Pages: 1-7 |
| DOI: | 10.48550/arXiv.2001.09767 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2001.09767 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2001.09767 
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| Author Notes: | Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P.G. Ziegler, Felix Ziesché |
| Summary: | 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 $\beta$ 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. |
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| Item Description: | Gesehen am 07.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2001.09767 |