• Open Access

Sampling using SU(N) gauge equivariant flows

Denis Boyda, Gurtej Kanwar, Sébastien Racanière, Danilo Jimenez Rezende, Michael S. Albergo, Kyle Cranmer, Daniel C. Hackett, and Phiala E. Shanahan
Phys. Rev. D 103, 074504 – Published 20 April 2021
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  • INTRODUCTION
  • FLOW-BASED SAMPLING FOR LATTICE GAUGE…
  • FLOW MODELS FOR SINGLE SU(N) VARIABLES
  • APPLICATION TO SU(2) AND SU(3) LATTICE…
  • OUTLOOK
  • ACKNOWLEDGMENTS
  • APPENDICES
    • References

    Abstract

    We develop a flow-based sampling algorithm for SU(N) lattice gauge theories that is gauge invariant by construction. Our key contribution is constructing a class of flows on an SU(N) variable [or on a U(N) variable by a simple alternative] that respects matrix conjugation symmetry. We apply this technique to sample distributions of single SU(N) variables and to construct flow-based samplers for SU(2) and SU(3) lattice gauge theory in two dimensions.

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    • Received 24 September 2020
    • Accepted 16 March 2021

    DOI:https://doi.org/10.1103/PhysRevD.103.074504

    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)

    1. Research Areas
    Lattice QCDLattice field theory
    1. Techniques
    Gauge symmetriesMonte Carlo methods
    Particles & Fields

    Authors & Affiliations

    Denis Boyda1,*, Gurtej Kanwar1,†, Sébastien Racanière2,‡, Danilo Jimenez Rezende2,§, Michael S. Albergo3, Kyle Cranmer3, Daniel C. Hackett1, and Phiala E. Shanahan1

    • 1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
    • 2DeepMind, London N1C 4AG, United Kingdom
    • 3Center for Cosmology and Particle Physics, New York University, New York, New York 10003, USA

    • *boyda@mit.edu
    • †gurtej@mit.edu
    • ‡sracaniere@google.com
    • §danilor@google.com

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    Issue

    Vol. 103, Iss. 7 — 1 April 2021

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