- Letter
- Open Access
Toward a Ginsparg-Wilson lattice Hamiltonian
Phys. Rev. D 110, L011502 – Published 9 July, 2024
DOI: https://doi.org/10.1103/PhysRevD.110.L011502
Abstract
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 satisfying the Ginsparg-Wilson (GW) equation. I work with a solution to the GW equation which is fractional linear in time derivatives. The resulting Hamiltonian is nonlocal and has ghosts, but is free of doublers and has the correct continuum limit. This construction works in general odd spatial dimensions, and I provide an explicit expression for the Hamiltonian in one spatial dimension.
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