$O(a^2)$-improved actions for heavy quarks and scaling studies on quenched lattices

Abstract

We investigate a new class of improved relativistic fermion action on the lattice with a criterion to give excellent energy-momentum dispersion relation as well as to be consistent with tree-level $O\left(a^{2}\right)$-improvement. Main application in mind is that for heavy quark for which $ma\simeq O(0.5)$. We present tree-level results and a scaling study on quenched lattices.