Optimizing Chirality and Scaling of Lattice Fermions

If we construct a lattice fermion formulation, there are a number of goals to be considered: doubling should be avoided; even at finite lattice spacing, we want to represent chiral symmetry in a sound way; and we are seeking a good scaling behavior. Conceptually we have to require locality, and for practical purposes we even desire a high level of locality. A further issue is a good approximation to rotation invariance. Last but not least the formulation should be simple enough to allow for efficient simulations. Here we report on a construction, which is designed to do justice to all of these goals.