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To investigate the viability of the 4th root trick for the staggered fermiondeterminant in a simpler setting, we consider a two taste (flavor) latticefermion formulation with no taste mixing but with exact taste-nonsinglet chiralsymmetries analogous to the taste-nonsinglet $U(1)_A$ symmetry of staggeredfermions. M. Creutz's objections to the rooting trick apply just as much inthis setting. To counter them we show that the formulation has robust would-bezero-modes in topologically nontrivial gauge backgrounds, and that thesemanifest themselves in a viable way in the rooted fermion determinant and alsoin the disconnected piece of the pseudoscalar meson propagator as required tosolve the U(1) problem. Also, our rooted theory is heuristically seen to be inthe right universality class for QCD if the same is true for an unrooted mixedfermion action theory.

The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing