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

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 crit...

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Main Authors: Abbott, Ryan (Author) , Albergo, Michael S. (Author) , Boyda, Denis (Author) , Cranmer, Kyle (Author) , Hackett, Daniel C. (Author) , Kanwar, Gurtej (Author) , Racanière, Sébastien (Author) , Rezende, Danilo J. (Author) , Romero-López, Fernando (Author) , Shanahan, Phiala E. (Author) , Tian, Betsy (Author) , Urban, Julian M. (Author)
Format: Article (Journal)
Language:English
Published: 18 October 2022
In: Physical review
Year: 2022, Volume: 106, Issue: 7, Pages: 1-15
ISSN:2470-0029
DOI:10.1103/PhysRevD.106.074506
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.106.074506
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.106.074506
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Author Notes:Ryan Abbott, Michael S. Albergo, Denis Boyda, Kyle Cranmer, Daniel C. Hackett, Gurtej Kanwar, Sébastien Racanière, Danilo J. Rezende, Fernando Romero-López, Phiala E. Shanahan, Betsy Tian, and Julian M. Urban
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Summary: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 Nf=2 flavors of fermions are provided.
Item Description:Gesehen am 27.01.2023
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.106.074506

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