Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-09-03
Physics
High Energy Physics
High Energy Physics - Theory
Diploma Thesis (Advisor: Dr. Alejandro Cabo)
Scientific paper
A particular initial state for the construction of a perturbative QCD expansion is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global $SU(3)$ symmetries. The general form of the Wick theorem is discussed, and it follows that the gluon and ghost propagators determined by the proposed vacuum state, coincides with the ones used in an alternative of the usual perturbation theory proposed in a previous work, and reviewed here. Therefore, the ability of such a procedure of producing a finite gluon condensation parameter already in the first orders of perturbation theory is naturally explained. It also follows that this state satisfies the physicality condition of the BRST procedure in its Kugo and Ojima formulation. A brief review of the canonical quantization for gauge fields, developed by Kugo and Ojima, is done and the value of the gauge parameter $\alpha$ is fixed to $\alpha=1$ where the procedure is greatly simplified. Therefore, after assuming that the adiabatic connection of the interaction does not take out the state from the interacting physical space, the predictions of the perturbation expansion for the physical quantities, at the value $\alpha=1$, should have meaning. The validity of this conclusion solves the gauge dependence indeterminacy remained in the proposed perturbation expansion.
No associations
LandOfFree
About an Alternative Vacuum State for Perturbative QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with About an Alternative Vacuum State for Perturbative QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and About an Alternative Vacuum State for Perturbative QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354836