Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions

• URL: http://arxiv.org/abs/2207.08945v1
• Date: Mon, 18 Jul 2022 21:13:34 GMT
• Title: Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions
• Authors: Ryan Abbott, Michael S. Albergo, Denis Boyda, Kyle Cranmer, Daniel C. Hackett, Gurtej Kanwar, S\'ebastien Racani\`ere, Danilo J. Rezende, Fernando Romero-L\'opez, Phiala E. Shanahan, Betsy Tian and Julian M. Urban
• Abstract summary: This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as estimators for the fermionic determinant. This is the default approach in state-of-the-art lattice field theory calculations, making this development critical to the practical application of flow models to theories such as QCD.
• Score: 51.52945471576731
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as stochastic estimators for the fermionic determinant. This is the default approach in state-of-the-art lattice field theory calculations, making this development critical to the practical application of flow models to theories such as QCD. Methods by which flow-based sampling approaches can be improved via standard techniques such as even/odd preconditioning and the Hasenbusch factorization are also outlined. Numerical demonstrations in two-dimensional U(1) and SU(3) gauge theories with $N_f=2$ flavors of fermions are provided.

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