Pith. sign in

REVIEW 5 cited by

Exact lattice chiral symmetry in 2d gauge theory

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2310.17539 v3 pith:ETA3MPRB submitted 2023-10-26 hep-lat hep-th

Evan Berkowitz , Aleksey Cherman , Theodore Jacobson This is my paper · ORCID
classification hep-lathep-th
keywords latticechiralgaugetheoryactionsanomaliesbosonizationcase
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exactly Solvable 1+1d Chiral Lattice Gauge Theories

    hep-th 2026-01 conditional novelty 7.0 of 10

    Anomaly-free chiral U(1) gauge theories in 1+1 dimensions can be written as quadratic, exactly solvable lattice Hamiltonians, with the 34-50 model as an explicit example.

  2. Ginsparg-Wilson Hamiltonians with Improved Chiral Symmetry

    hep-lat 2025-05 conditional novelty 7.0 of 10

    A tunable family of Ginsparg-Wilson Hamiltonians is constructed in which the chiral charge becomes progressively more quantized as k increases, though locality degrades.

  3. Bosonization versus the Nielsen-Ninomiya theorem

    hep-th 2026-07 conditional novelty 6.5 of 10

    The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.

  4. Unpaired Weyl fermion on an axion string in a finite lattice

    hep-th 2025-06 conditional novelty 6.0 of 10

    A modified crossed-domain-wall axion string on an N=28 periodic lattice produces an unpaired, single-chirality Weyl fermion branch, extending the Kaplan-Sen disk construction to string defects.

  5. 2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries

    hep-th 2025-05 conditional novelty 6.0 of 10

    The 2d Cardy-Rabinovici model is constructed on a modified Villain lattice, making rescaled theta periodicity and strong-weak duality exact at finite spacing and giving a symmetry-based phase classification.

Pith tools