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arxiv: 2207.08945 · v3 · pith:KSHV234Jnew · submitted 2022-07-18 · ✦ hep-lat · cs.LG

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

Ryan Abbott , Michael S. Albergo , Denis Boyda , Kyle Cranmer , Daniel C. Hackett , Gurtej Kanwar , S\'ebastien Racani\`ere , Danilo J. Rezende
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Fernando Romero-L\'opez Phiala E. Shanahan Betsy Tian Julian M. Urban
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classification ✦ hep-lat cs.LG
keywords theoriesfieldlatticesamplingfermionicflowflow-basedgauge-equivariant
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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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