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About this paper
Ryan Abbott, Michael S. Albergo, Denis Boyda, Kyle Cranmer, Daniel C. Hackett, Gurtej Kanwar, Sébastien Racanière, Danilo J. Rezende and 4 more
Researchers developed gauge-equivariant flow architectures for sampling fermionic lattice field theories using pseudofermions, integrating standard preconditioning techniques like even/odd preconditioning and Hasenbusch factorization. The approach demonstrated accurate sampling of field configurations and improved sampling efficiency in two-dimensional U(1) and SU(3) gauge theories with fermions.
Key insights
- Gauge equivariance for pseudofermions can be effectively maintained through parallel transport of fields before combination, enabling robust modeling of complex fermionic interactions.
- Factorizing the target distribution into marginal and conditional flows provides a scalable approach for handling fermionic degrees of freedom within a flow-based sampling framework.
- Incorporating established preconditioning methods significantly enhances the learnability of the target distributions, reducing the condition number of the Dirac operator and leading to higher quality flow models.
Summary by alphaXiv.
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