The 2⁺⁺ Three-Gluon Tensor Glueball in Quantum Chromodynamics Sum Rules

The three-gluon tensor current of quantum numbers J^pc = 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.