Coupling Constant and Quark Loop Expansion for Corrections to the Valence Approximation

Abstract

For full QCD vacuum expectation values we construct an expansion in quark loop count and in powers of a coupling constant. The leading term in this expansion is the valence (quenched) approximation vacuum expectation value. Higher terms give corrections to the valence approximation. A test of the expansion is presented for moderately heavy quarks on a small lattice. We consider briefly an application of the expansion to quarkonium-glueball mixing.

16 pages, 5 figures, version to appear in PRD including additional discussion of Boglione and Pennington paper on consequences of valence approximation corrections for quarkonium-glueball mixing