Glueballs and Instantons
Thomas SchäferDepartment of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794Edward ShuryakDepartment of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
1995en
ABI
Abstract
Gluonic correlation functions and Bethe-Salpeter amplitudes are calculated in an instanton-based model of the QCD vacuum. We consider both the pure gauge case and the situation for real QCD with two light quark flavors. We show that instantons lead to a strong attractive force in the ${J}^{\mathrm{PC}}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0}^{++}$ channel, which results in the scalar glueball being much smaller than other glueballs. In the ${0}^{\ensuremath{-}+}$ channel the corresponding force is repulsive, and in the ${2}^{++}$ case it is absent. The resulting correlators, masses, coupling constants, and wave functions are compared to the results of lattice simulations.
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Cited by 20 references