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Chiral Lattice Fermions From Staggered Fields

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arxiv 2010.02290 v4 pith:U2XMICYJ submitted 2020-10-05 hep-lat cond-mat.str-elhep-th

Simon Catterall This is my paper · ORCID
classification hep-latcond-mat.str-elhep-th
keywords fermionslatticemodelconstraintscontinuumlimitstaggeredanomalies
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We describe a proposal for constructing a lattice theory that we argue may be capable of yielding free Weyl fermions in the continuum limit. The model employs reduced staggered fermions and uses site parity dependent Yukawa interactions of Fidkowski-Kitaev type to gap a subset of the lattice fermions without breaking symmetries. The possibility for such symmetric mass generation is tied to the cancellation of certain discrete anomalies arising in the continuum limit. The latter place strong constraints on the number of lattice fermions -- constraints that are satisfied by this model. We present numerical results for the model in two dimensions which support this sc

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Cited by 2 Pith papers

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

  1. 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.

  2. 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.

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