In the quenched Schwinger model, gradient flow makes staggered fermion taste splittings decay exponentially, but for Karsten-Wilczek and Borici-Creutz fermions only the topological zero-mode splitting decays while other splittings plateau near a|δ|∼10^-3.
Staggered eigenvalue mimicry
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abstract
We study the infrared part of the spectrum for UV-filtered staggered Dirac operators and compare them to the overlap counterpart. With sufficient filtering and at small enough lattice spacing the staggered spectra manage to ``mimic'' the overlap version. They show a 4-fold near-degeneracy, and a clear separation between would-be zero modes and non-zero modes. This suggests an approximate index theorem for filtered staggered fermions and a correct sensitivity to the topology of QCD. Moreover, it supports square-rooting the staggered determinant to obtain dynamical ensembles with $N_f=2$.
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Taste-splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions under gradient flow in 2D
In the quenched Schwinger model, gradient flow makes staggered fermion taste splittings decay exponentially, but for Karsten-Wilczek and Borici-Creutz fermions only the topological zero-mode splitting decays while other splittings plateau near a|δ|∼10^-3.