Finite-energy sum rules for heavy quarkonia

We show that at large energies the parton model and the vector-dominance model give identical results for e+e- annihilation into hadrons. We derive finite-energy sum rules for heavy quarkonia which connect perturbative results to resonance parameters. The sum rules are satisfied extremely well by the UPSILON system. From the available masses and leptonic widths of heavy resonances we construct a quantity M/sub tr/(T), which is the truncated version of a Green's function M(T). We remark that as the time T goes to infinity M(T) approaches M/sub tr/(T) and we calculate via Monte Carlo techniques the full Green's function M(T), in the simple case of a linear potential