Sampling using \(SU(N)\) gauge equivariant flows

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 respect matrix conjugation symmetry. We app...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Boyda, Denis, Kanwar, Gurtej, Racanière, Sébastien, Danilo Jimenez Rezende, Albergo, Michael S, Cranmer, Kyle, Hackett, Daniel C, Shanahan, Phiala E
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.09.2020
Subjects
Algorithms
Conjugation
Gauge theory
Mathematical analysis
Matrix methods
Samplers
Sampling
Online AccessGet full text

Cover

More Information
Summary: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 respect 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2008.05456