On the reliable measurement of the gluon condensate in lattice QCD

Details On the reliable measurement of the gluon condensate in lattice QCD On the reliable measurement of the gluon condensate in lattice QCD

1994-11-30

arxiv.org/abs/hep-lat/9411081v2

Nucl.Phys.Proc.Suppl. 42 (1995) 219-221

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, uuencoded Postscript file of the contribution to Lattice'94. Statistical errors and typos are corrected

Scientific paper

10.1016/0920-5632(95)00206-O

We propose to calculate the gluon condensate in lattice QCD in an indirect way by extracting it from the correlator of hadronic currents of heavy quarks. Moments (derivatives with respect to momentum at vanishing momentum) of the vector and pseudoscalar correlators are evaluated. The contribution of the continuum spectrum in addition to the low-lying resonance is observed in accordance with qualitative expectations. Finite size effects are observed and shown to be insignificant for heavy quarks and moderate lattices. A practical definition of the nonperturbatively renormalized heavy quark mass is given.

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