Chiral Lattice Fermions From Staggered Fields

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 sc

10 pages. 8 figures. Changes to text and figures added. Version to be published in PRD

References in corpus (5)

• Massive fermions without fermion bilinear condensates
• Interacting Topological Insulator and Emergent Grand Unified Theory
• Gapped Chiral Fermions
• Generating a non-perturbative mass gap using Feynman diagrams in an asymptotically free theory
• Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions

Cited by in corpus (11)

• Symmetric Mass Generation
• Comments on Symmetric Mass Generation in 2d and 4d
• Symmetric Mass Generation in the 1+1 Dimensional Chiral Fermion 3-4-5-0 Model
• 't Hooft anomalies for staggered fermions
• Gauge Enhanced Quantum Criticality Beyond the Standard Model
• Definition and Classification of Fermi Surface Anomalies
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Improved coarse-graining methods on two dimensional tensor networks including fermions
• Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions
• Lattice Regularization of Reduced Kähler-Dirac Fermions and Connections to Chiral Fermions
• Fermion Mass Generation without Symmetry Breaking