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

Understand

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 $r$.