MODELLING THE NON-PERTURBATIVE VACUUM OF QCD

Abstract

The properties of the non-perturbative vacuum of QCD are modelled within the framework of a bosonized QCD Hamiltonian. The Hamiltonian includes fermion (valence quarks and quark-antiquark pairs) and bosons (pairs of gluons) interacting via effective interactions. The couplings between these degrees of freedom are fixed from the phenomenology and the Hamiltonian is transformed into a boson basis to map quark-antiquark pairs and pairs of gluons. With these elements we calculate the parameters which define gluon and fermion condensates and compare their values with the ones obtained by applying sum rule techniques. The agreement between the results is rather good, in spite of the simplicity of the model.