• Open Access

Flow-based sampling in the lattice Schwinger model at criticality

Michael S. Albergo, Denis Boyda, Kyle Cranmer, Daniel C. Hackett, Gurtej Kanwar, Sébastien Racanière, Danilo J. Rezende, Fernando Romero-López, Phiala E. Shanahan, and Julian M. Urban
Phys. Rev. D 106, 014514 – Published 29 July 2022
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Abstract

Recent results suggest that flow-based algorithms may provide efficient sampling of field distributions for lattice field theory applications, such as studies of quantum chromodynamics and the Schwinger model. In this work, we provide a numerical demonstration of robust flow-based sampling in the Schwinger model at the critical value of the fermion mass. In contrast, at the same parameters, conventional methods fail to sample all parts of configuration space, leading to severely underestimated uncertainties.

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  • Received 9 March 2022
  • Accepted 12 July 2022

DOI:https://doi.org/10.1103/PhysRevD.106.014514

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear PhysicsCondensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Michael S. Albergo1, Denis Boyda2,3,4, Kyle Cranmer1, Daniel C. Hackett3,4, Gurtej Kanwar5,3,4, Sébastien Racanière6, Danilo J. Rezende6, Fernando Romero-López3,4, Phiala E. Shanahan3,4, and Julian M. Urban7

  • 1Center for Cosmology and Particle Physics, New York University, New York, New York 10003, USA
  • 2Argonne Leadership Computing Facility, Argonne National Laboratory, Lemont, Illinois 60439, USA
  • 3Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 4The NSF AI Institute for Artificial Intelligence and Fundamental Interactions, Cambridge, Massachusetts 02139, USA
  • 5Albert Einstein Center, Institute for Theoretical Physics, University of Bern, 3012 Bern, Switzerland
  • 6DeepMind, S2, 8 Handyside Street, London, N1C 4DJ, United Kingdom
  • 7Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany

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Issue

Vol. 106, Iss. 1 — 1 July 2022

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