Learning lattice quantum field theories with equivariant continuous flows
Mathis Gerdes, Pim de Haan, Corrado Rainone, Roberto Bondesan, Miranda C. N. Cheng
SciPost Phys. 15, 238 (2023) · published 13 December 2023
- doi: 10.21468/SciPostPhys.15.6.238
- Submissions/Reports
Abstract
We propose a novel machine learning method for sampling from the high-dimensional probability distributions of Lattice Field Theories, which is based on a single neural ODE layer and incorporates the full symmetries of the problem. We test our model on the $\phi^4$ theory, showing that it systematically outperforms previously proposed flow-based methods in sampling efficiency, and the improvement is especially pronounced for larger lattices. Furthermore, we demonstrate that our model can learn a continuous family of theories at once, and the results of learning can be transferred to larger lattices. Such generalizations further accentuate the advantages of machine learning methods.
Cited by 9
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Mathis Gerdes,
- 2 3 Pim de Haan,
- 3 Corrado Rainone,
- 3 Roberto Bondesan,
- 1 2 4 Miranda C. N. Cheng