Introduction of new coordinates in the description of many-gluon systems (original) (raw)

This paper introduces a novel approach to describing many-gluon systems by substituting traditional boson creation and annihilation operators with coordinate and momentum operators. By applying a transformation to new coordinates, the QCD Hamiltonian in the one-level approximation becomes significantly simpler, allowing existing bases to effectively diagonalize the Hamiltonian and calculate high gluon number excited states nonperturbatively. The study emphasizes the illustrative properties of these new coordinates, presents a calculation of the 0++ spectrum, and discusses the implications for understanding hadron ground states in QCD, especially in the context of SU(2) color theory.