Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-05-29
Nucl.Phys. B477 (1996) 489-520
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages Latex + 18 figures with captions. Thoroughly revised version with new results on the renormalised charmed quark mass
Scientific paper
10.1016/0550-3213(96)00396-3
We study on the lattice the correlator of heavy-quark currents in the vicinity of vanishing momentum. The renormalized charmed quark mass, the renormalized strong coupling constant and gluon condensate can be defined in terms of the derivatives of that correlator at zero momentum. We analyze quenched Monte-Carlo data on a small lattice $8^3*16$ for $\beta=6$. We generalize dispersion relations to the lattice theory in a simple way and use them successfully to fit the correlator at both small and large distances. We fit the short-distance part of the correlator with the relevant expressions of perturbative QCD on the lattice and obtain the value of the renormalized quark mass $m_c^{\bar{MS}}(m_c)\,=\,1.20(4)\,GeV$.
Bochkarev Alexander
Forcrand Ph de
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