Solving the QCD Hamiltonian for bound states

Abstract

The systematic approach to study bound states in quantum chromodynamics is presented. The method utilizes nonperturbative flow equations in the confining background, that makes possible to perform perturbative renormalization and to bring the QCD Hamiltonian to a block-diagonal form with the number of quasiparticles conserving in each block. The effective block-diagonal Hamiltonian provides constituent description for hadron observables. The effective Hamiltonian of gluodynamics in the Coulomb gauge, renormalized to the second order, is obtained at low energies. The masses for scalar and pseudoscalar glueballs are predicted.