Staggered domain wall fermion method

This is the authors' abstract. We don't add key points for this paper.

A different lattice fermion method is introduced. Staggered domain wall fermions are defined in $2n+1$ dimensions and describe 2ⁿ flavors of light lattice fermions with exact U(1)×U(1) chiral symmetry in $2n$ dimensions. As the size of the extra dimension becomes large, 2ⁿ chiral flavors with the same chiral charge are expected to be localized on each boundary and the full SU(2ⁿ)×SU(2ⁿ) flavor chiral symmetry is expected to be recovered. SDWF give a different perspective into the inherent flavor mixing of lattice fermions and by design present an advantage for numerical simulations of lattice QCD thermodynamics. The chiral and topological index properties of the SDWF Dirac operator are investigated. And, there is a surprise ending.