Numerical spectral flow and modified chirality operators show that Karsten-Wilczek and Borici-Creutz minimally doubled fermions satisfy the index theorem on an 8^4 SU(3) lattice with Q_top = -2.
Minimally doubled fermions and their renormalization
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abstract
Minimally doubled fermions have been proposed as a strictly local discretization of the QCD quark action, which also preserves chiral symmetry at finite cut-off. We study the renormalization and mixing properties of two particular realizations of minimally doubled fermions in lattice perturbation theory at one loop, and we construct conserved axial currents which have a simple form involving only nearest-neighbours sites. We also introduce a notation which allows a unified description of the renormalization properties of both actions.
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Eigenspectra of Minimally Doubled Fermions
Numerical spectral flow and modified chirality operators show that Karsten-Wilczek and Borici-Creutz minimally doubled fermions satisfy the index theorem on an 8^4 SU(3) lattice with Q_top = -2.