Instanton Effects on the Role of the Low-Energy Theorem for the Scalar Gluonic Correlation Function

Abstract

Instanton contributions to the Laplace sum-rules for correlation functions of scalar gluonic currents are calculated. The role of the constant low-energy theorem term, whose substantial contribution is unique to the leading Laplace sum-rule $L_{-1}$, is shown to be diminished by instanton contributions, significantly increasing the resulting mass bounds for the ground state of scalar gluonium and improving compatibility with results from higher-weight sum-rules.

Comments: latex2e, 12 pages, 10 encapsulated postscript figures. Revised version includes additional analysis, figures, and references