On-shell improvement of the massive Wilson quark action
Abstract
We review a relativistic approach to the heavy quark physics in lattice QCD by applying a relativistic
O(a)
improvement to the massive Wilson quark action on the lattice. After explaining how power corrections of
m
Q
a
can be avoided and remaining uncertainties are reduced to be of order
(a
Λ
QCD
)
2
, we demonstrate a determination of four improvement coefficients in the action up to one-loop level in a mass dependent way. We also show a perturbative determination of mass dependent renormalization factors and
O(a)
improvement coefficients for the vector and axial vector currents. Some preliminary results of numerical simulations are also presented.