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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2311.13002 |
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| _version_ | 1866911985052942336 |
|---|---|
| author | Lawrence, Scott Yamauchi, Yukari |
| author_facet | Lawrence, Scott Yamauchi, Yukari |
| contents | We discuss various formal aspects of contour deformations used to alleviate sign problems; most importantly, relating these contour deformations to a certain convex optimization problem. As a consequence of this connection we describe a general method for proving upper bounds on the average phase achievable by the contour deformation method. Using this method we show that Abelian lattice Yang-Mills in two spacetime dimensions possesses, for many values of the complex coupling, an exponential sign problem that cannot be removed via any contour deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13002 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convex optimization and contour deformations Lawrence, Scott Yamauchi, Yukari High Energy Physics - Lattice We discuss various formal aspects of contour deformations used to alleviate sign problems; most importantly, relating these contour deformations to a certain convex optimization problem. As a consequence of this connection we describe a general method for proving upper bounds on the average phase achievable by the contour deformation method. Using this method we show that Abelian lattice Yang-Mills in two spacetime dimensions possesses, for many values of the complex coupling, an exponential sign problem that cannot be removed via any contour deformation. |
| title | Convex optimization and contour deformations |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2311.13002 |