Normalizing flows for lattice gauge theory in arbitrary space-time dimension

• URL: http://arxiv.org/abs/2305.02402v1
• Date: Wed, 3 May 2023 19:54:04 GMT
• Title: Normalizing flows for lattice gauge theory in arbitrary space-time dimension
• Authors: Ryan Abbott, Michael S. Albergo, Aleksandar Botev, Denis Boyda, Kyle Cranmer, Daniel C. Hackett, Gurtej Kanwar, Alexander G.D.G. Matthews, S\'ebastien Racani\`ere, Ali Razavi, Danilo J. Rezende, Fernando Romero-L\'opez, Phiala E. Shanahan, Julian M. Urban
• Abstract summary: Applications of normalizing flows to the sampling of field configurations in lattice gauge theory have so far been explored almost exclusively in two space-time dimensions. We discuss masked autoregressive with tractable and unbiased Jacobian determinants, a key ingredient for scalable and exact flow-based sampling algorithms. For concreteness, results from a proof-of-principle application to SU(3) gauge theory in four space-time dimensions are reported.
• Score: 135.04925500053622
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Applications of normalizing flows to the sampling of field configurations in lattice gauge theory have so far been explored almost exclusively in two space-time dimensions. We report new algorithmic developments of gauge-equivariant flow architectures facilitating the generalization to higher-dimensional lattice geometries. Specifically, we discuss masked autoregressive transformations with tractable and unbiased Jacobian determinants, a key ingredient for scalable and asymptotically exact flow-based sampling algorithms. For concreteness, results from a proof-of-principle application to SU(3) lattice gauge theory in four space-time dimensions are reported.

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