Non-Perturbative Trivializing Flows for Lattice 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_ | 1866911326869127168 |
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| author | Gerdes, Mathis de Haan, Pim Bondesan, Roberto Cheng, Miranda C. N. |
| author_facet | Gerdes, Mathis de Haan, Pim Bondesan, Roberto Cheng, Miranda C. N. |
| contents | Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_13161 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Perturbative Trivializing Flows for Lattice Gauge Theories Gerdes, Mathis de Haan, Pim Bondesan, Roberto Cheng, Miranda C. N. High Energy Physics - Lattice Statistical Mechanics Machine Learning High Energy Physics - Theory Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations. |
| title | Non-Perturbative Trivializing Flows for Lattice Gauge Theories |
| topic | High Energy Physics - Lattice Statistical Mechanics Machine Learning High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.13161 |