Machine learning a fixed point action for SU(3) gauge theory with a gauge equivariant convolutional neural network
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912055993303040 |
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| author | Holland, Kieran Ipp, Andreas Müller, David I. Wenger, Urs |
| author_facet | Holland, Kieran Ipp, Andreas Müller, David I. Wenger, Urs |
| contents | Fixed point lattice actions are designed to have continuum classical properties unaffected by discretization effects and reduced lattice artifacts at the quantum level. They provide a possible way to extract continuum physics with coarser lattices, thereby allowing one to circumvent problems with critical slowing down and topological freezing toward the continuum limit. A crucial ingredient for practical applications is to find an accurate and compact parametrization of a fixed point action, since many of its properties are only implicitly defined. Here we use machine learning methods to revisit the question of how to parametrize fixed point actions. In particular, we obtain a fixed point action for four-dimensional SU(3) gauge theory using convolutional neural networks with exact gauge invariance. The large operator space allows us to find superior parametrizations compared to previous studies, a necessary first step for future Monte Carlo simulations and scaling studies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06481 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Machine learning a fixed point action for SU(3) gauge theory with a gauge equivariant convolutional neural network Holland, Kieran Ipp, Andreas Müller, David I. Wenger, Urs High Energy Physics - Lattice Machine Learning High Energy Physics - Phenomenology Fixed point lattice actions are designed to have continuum classical properties unaffected by discretization effects and reduced lattice artifacts at the quantum level. They provide a possible way to extract continuum physics with coarser lattices, thereby allowing one to circumvent problems with critical slowing down and topological freezing toward the continuum limit. A crucial ingredient for practical applications is to find an accurate and compact parametrization of a fixed point action, since many of its properties are only implicitly defined. Here we use machine learning methods to revisit the question of how to parametrize fixed point actions. In particular, we obtain a fixed point action for four-dimensional SU(3) gauge theory using convolutional neural networks with exact gauge invariance. The large operator space allows us to find superior parametrizations compared to previous studies, a necessary first step for future Monte Carlo simulations and scaling studies. |
| title | Machine learning a fixed point action for SU(3) gauge theory with a gauge equivariant convolutional neural network |
| topic | High Energy Physics - Lattice Machine Learning High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2401.06481 |