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Topological properties of minimally doubled fermions in two space-time dimensions
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abstract
The two-dimensional Schwinger model is used to explore how lattice fermion operators perceive the global topological charge $q \in \mathbb{Z}$ of a given background gauge field. We focus on Karsten-Wilczek and Borici-Creutz fermions, which are minimally doubled, and compare them to Wilson, Brillouin, naive, staggered and Adams fermions. For each operator the eigenvalue spectrum in a background with $q \neq 0$ is determined along with the chiralities of the eigenmodes, and the spectral flow of the pertinent hermitean operator is worked out. We find that Karsten-Wilczek and Borici-Creutz fermions perceive the global topological charge $q$ in the same way as staggered and naive fermions do.
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Cited by 1 Pith paper
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Taste breaking in the minimally doubled Karsten-Wilczek action and its tree-level improvement
A tree-level Naik improvement of the Karsten-Wilczek lattice fermion action reduces taste breaking and noise in mixed-action tests, bringing its continuum pion decay constant in line with staggered results.
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