Relativistic corrections to the heavy quark potential
Yoshiaki Koma (Mainz)

Heavy quarknia, bound states of a heavy quark and antiquark, offer a unique opportunity to gain an understanding of nonperturbative QCD.
A possible way of studying such systems systematically in QCD is to employ (potential) nonrelativistic QCD, which provides the static inter-quark potential as the leading order contribution, followed by relativistic corrections in powers of 1/m with quark mass m.
The various properties of heavy quarkonium can then be extracted by solving the Schroedinger equation with these potentials.
We present our recent numerical results of the relativistic corrections to the static potential obtained by using lattice QCD Monte Carlo simulations, which include the correction at O(1/m) and the spin-dependent corrections at O(1/m²).
Relevant references are hep-lat/0607009 and hep-lat/0609078.