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Sampling using $SU(N)$ gauge equivariant flows

Denis Boyda
(
- MIT, Cambridge, CTP
)
,
Gurtej Kanwar
(
- MIT, Cambridge, CTP
)
,
Sébastien Racanière
(
- Unlisted, UK
)
,
Danilo Jimenez Rezende
(
- Unlisted, UK
)
,
Michael S. Albergo
(
- New York U., CCPP
)

Aug 12, 2020

25 pages

Published in:

Phys.Rev.D 103 (2021) 7, 074504

Published: Apr 21, 2021

e-Print:

2008.05456 [hep-lat]

DOI:

10.1103/PhysRevD.103.074504

Report number:

MIT-CTP/5228

View in:

reference search121 citations

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Abstract: (APS)

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.

Note:

24 pages, 19 figures

Lattice field theories, lattice QCD
dimension: 2
invariance: gauge
SU(N)
lattice field theory
flow
SU(3)
SU(2)
U(N)

References(76)

Figures(11)

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