Bose Condensation and Anomalous Green's Functions in Quantum Chromodynamics

Abstract

The nonperturbative vacuum structure of the quantum chromodynamics is studied with the help of a generalization of the formalism of Green's functions which corresponds to the method of Gorkov and Nambu in the theory of superconductivity. The derived integral equations for the effective field parameters contain particular solutions with an energy gap in the spectrum of the quasi-particles and a phase transition at a critical magnitude of the four-momentum. The quasi-particles are interpreted as collective gluonic excitations, which are the constituent parts of glueballs.