Toward a Ginsparg-Wilson Lattice Hamiltonian
High Energy Physics - Lattice
2023-12-15 v1
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 an approximate solution to the GW equation which is fractional linear in time derivatives. The resulting Hamiltonian is non-local 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 1 spatial dimension.
Keywords
Cite
@article{arxiv.2312.08647,
title = {Toward a Ginsparg-Wilson Lattice Hamiltonian},
author = {Michael Clancy},
journal= {arXiv preprint arXiv:2312.08647},
year = {2023}
}