Abstract
The three-gluon tensor current of quantum numbers JPC = 2++ is constructed. The corresponding two-point function is calculated by including not only the perturbative contribution but also the non-perturbative ones resulting from condensates of dimensions up to six. In a usual "resonance plus continuum" model of the spectral function of the current, the quantum chromodynamics sum rules for the 2++ three-gluon tensor glueball are deduced, and the mass of that glueball is determined to be 2.0 GeV approximately.
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