Preprint

FZJ-2023-05410

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exact lattice chiral symmetry in 2d gauge theory

Berkowitz, E. (Corresponding author)FZJ* ; Cherman, A. ; Jacobson, T.

2023

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Please use a persistent id in citations: doi:10.34734/FZJ-2023-05410

Report No.: arXiv:2310.17539

Abstract: We construct symmetry-preserving lattice regularizations of 2d QED with one and two flavors of Dirac fermions, as well as the `3450' chiral gauge theory, by leveraging bosonization and recently-proposed modifications of Villain-type lattice actions. The internal global symmetries act just as locally on the lattice as they do in the continuum, the anomalies are reproduced at finite lattice spacing, and in each case we find a sign-problem-free dual formulation.

Note: v2: added references and improved discussion of discrete rotational invariance

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Center for Advanced Simulation and Analytics (CASA)
3. Jülich Supercomputing Center (JSC)
4. Institut 3 (Theoretische Kernphysik) (IKP-3)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2023

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