Dispersive theory of charmonium on the Lattice

Abstract

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3\ast 16$- and $16^3\ast 32$-lattices for $\beta =\{6,6.3\}$. The lattice artifacts in the short-distance behavior of that correlator are isolated. The physical short-distance part of the correlator is fitted by the relevant expressions of perturbative QCD, which allows one to obtain the renormalized charmed quark mass with rather high accuracy $m_c^{\overline{MS}}(m_c)=1.22(5)GeV$.

Comments: uuencoded Postscript file of 14 pages. Contribution to the Proceedings of the worskshop "Continuous Advances in QCD '96", Minneapolis, March 28-31, 1996