Contour deformations for non-holomorphic actions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917577906716672 |
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| author | Lawrence, Scott Valgushev, Semeon Xiao, Jianan Yamauchi, Yukari |
| author_facet | Lawrence, Scott Valgushev, Semeon Xiao, Jianan Yamauchi, Yukari |
| contents | We show how contour deformations may be used to control the sign problem of lattice Monte Carlo calculations with non-holomorphic actions. Such actions arise naturally in quantum mechanical scattering problems. The approach is demonstrated in conjunction with the holomorphic gradient flow. As our central example we compute the real-time evolution of a particle in a one-dimensional analog of the Yukawa potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contour deformations for non-holomorphic actions Lawrence, Scott Valgushev, Semeon Xiao, Jianan Yamauchi, Yukari High Energy Physics - Lattice We show how contour deformations may be used to control the sign problem of lattice Monte Carlo calculations with non-holomorphic actions. Such actions arise naturally in quantum mechanical scattering problems. The approach is demonstrated in conjunction with the holomorphic gradient flow. As our central example we compute the real-time evolution of a particle in a one-dimensional analog of the Yukawa potential. |
| title | Contour deformations for non-holomorphic actions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2401.16733 |