Chiral lattice fermions from staggered fields

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Abstract

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 scenario.

Original languageEnglish (US)
Article number014503
JournalPhysical Review D
Volume104
Issue number1
DOIs
StatePublished - Jul 1 2021

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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