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 …

We show how a path integral for reduced Kähler-Dirac fermions suffers from a phase
ambiguity associated with the fermion measure that is an analog of the measure problem …

To address quantum computation of quantities in quantum chromodynamics (QCD) for
which chiral symmetry is important, it would be useful to have the Hamiltonian for a fermion …

In the 1+ 1D ultra-local lattice Hamiltonian for staggered fermions with a finite-dimensional
Hilbert space, there are two conserved, integer-valued charges that flow in the continuum …

I demonstrate how chiral fermions with an exact gauge symmetry can appear on the d-
dimensional boundary of a finite volume (d+ 1)-dimensional manifold, without any light …

We consider the Atiyah-Patodi-Singer (APS) index theorem corresponding to the chiral
symmetry of a continuum formulation of staggered fermions called K\" ahler-Dirac fermions …

There currently does not exist a good regulator for chiral gauge theories on the lattice. A
number of approaches have been attempted, including domain wall fermions and overlap …