Exact lattice chiral symmetry in 2D gauge theory

Evan Berkowitz, Aleksey Cherman, Theodore Jacobson

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3 Scopus citations

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.

Original languageEnglish (US)
Article number014510
JournalPhysical Review D
Volume110
Issue number1
DOIs
StatePublished - Jul 1 2024

Bibliographical note

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© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"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.

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