Continuous normalizing flows for lattice gauge theories

• URL: http://arxiv.org/abs/2410.13161v1
• Date: Thu, 17 Oct 2024 02:30:44 GMT
• Title: Continuous normalizing flows for lattice gauge theories
• Authors: Mathis Gerdes, Pim de Haan, Roberto Bondesan, Miranda C. N. Cheng,
• Abstract summary: 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.
• Score: 8.901227918730562
• License:
• Abstract: Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful tool for sampling in 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 sampling tasks.

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