Improved lattice fermion action for heavy quarks

Understand

We develop an improved lattice action for heavy quarks based on Brillouin-type fermions, that have excellent energy-momentum dispersion relation.

• The leading discretization errors of $O(a)$ and $O(a^2)$ are eliminated at tree-level.
• We carry out a scaling study of this improved Brillouin fermion action on quenched lattices by calculating the charmonium energy-momentum dispersion relation and hyperfine splitting.
• We present a comparison to standard Wilson fermions and domain-wall fermions.