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Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions

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arxiv 2003.10803 v2 pith:NDXUYYV7 submitted 2020-03-24 hep-lat

Stephan Dürr , Johannes H. Weber This is my paper · ORCID
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keywords borici-creutzdispersionfermionskarsten-wilczekpropertiesrelationactionsbest
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abstract

We investigate some properties of Karsten-Wilczek and Borici-Creutz fermions, which are the best known varieties in the class of minimally doubled lattice fermion actions. Our focus is on the dispersion relation and the distribution of eigenvalues in the free-field theory. We consider the situation in two and four space-time dimensions, and we discuss how properties vary as a function of the Wilson-like lifting parameter $r$.

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  1. Eigenspectra of Minimally Doubled Fermions

    hep-lat 2025-01 conditional novelty 4.0 of 10

    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.

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