Multiscale Normalizing Flows for Gauge Theories
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929315880370176 |
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| author | Abbott, Ryan Albergo, Michael S. Boyda, Denis Hackett, Daniel C. Kanwar, Gurtej Romero-López, Fernando Shanahan, Phiala E. Urban, Julian M. |
| author_facet | Abbott, Ryan Albergo, Michael S. Boyda, Denis Hackett, Daniel C. Kanwar, Gurtej Romero-López, Fernando Shanahan, Phiala E. Urban, Julian M. |
| contents | Scale separation is an important physical principle that has previously enabled algorithmic advances such as multigrid solvers. Previous work on normalizing flows has been able to utilize scale separation in the context of scalar field theories, but the principle has been largely unexploited in the context of gauge theories. This work gives an overview of a new method for generating gauge fields using hierarchical normalizing flow models. This method builds gauge fields from the outside in, allowing different parts of the model to focus on different scales of the problem. Numerical results are presented for $U(1)$ and $SU(3)$ gauge theories in 2, 3, and 4 spacetime dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10819 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiscale Normalizing Flows for Gauge Theories Abbott, Ryan Albergo, Michael S. Boyda, Denis Hackett, Daniel C. Kanwar, Gurtej Romero-López, Fernando Shanahan, Phiala E. Urban, Julian M. High Energy Physics - Lattice Scale separation is an important physical principle that has previously enabled algorithmic advances such as multigrid solvers. Previous work on normalizing flows has been able to utilize scale separation in the context of scalar field theories, but the principle has been largely unexploited in the context of gauge theories. This work gives an overview of a new method for generating gauge fields using hierarchical normalizing flow models. This method builds gauge fields from the outside in, allowing different parts of the model to focus on different scales of the problem. Numerical results are presented for $U(1)$ and $SU(3)$ gauge theories in 2, 3, and 4 spacetime dimensions. |
| title | Multiscale Normalizing Flows for Gauge Theories |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2404.10819 |