Modified initial state for perturbative QCD - art. no. 074018

A particular initial state for the construction of the perturbative expansi on of QCD is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global SU(3) symmetries. It follows that the gluon and ghost propagators determined by it coincide with the ones used in an alternative of the usual perturbation theory propo sed in a previous work. Therefore, the ability of such a procedure to produ ce a finite gluon condensation parameter already in the first orders of per turbation theory is naturally explained. It also follows that this state sa tisfies the physicality condition of the Becchi-Rouet-Stora-Tyutin (BRST) p rocedure in its Kugo-Ojima formulation. The ERST quantization is done for t he value alpha = 1 of the gauge parameter where the procedure is greatly si mplified. Therefore. after assuming that the adiabatic connection of the in teraction does not take out the state from the interacting physical space, the predictions of the perturbation expansion, at the value alpha = 1, for the physical quantities should have meaning. The validity of this conclusio n solves the gauge dependence indeterminacy remaining in the proposed pertu rbation expansion.