Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-02
Int. J. Theor. Phys. 48 (2009) 3061
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 1 figure, no tables, some final additional material is added minor correction introduced and references rearranged
Scientific paper
10.1007/s10773-009-0101-3
The general scale parameter, having the dimensions of mass squared, is dynamically generated in the QCD gluon sector. It is introduced through the difference between the regularized full gluon self-energy and its value at some finite point. It violates transversality of the full gluon self-energy. The Slavnov-Taylor identity for the full gluon propagator, when it is given by the corresponding equation of motion, is also violated by it. So in order to maintain both transversality and the identity it should be disregarded from the very beginning, i.e., put formally zero everywhere. However, we have shown how to preserve the above-mentioned identity at non-zero mass squared parameter. This allows one to establish the structure of the full gluon propagator when it is explicitly present. Its contribution does not survive in the perturbation theory regime when the gluon momentum goes to infinity. At the same time, its contribution dominates the structure of the full gluon propagator when the gluon momentum goes to zero. We have also proposed a method how to restore transversality of the relevant gluon propagator in a gauge invariant way, while keeping the mass squared parameter "alive".
No associations
LandOfFree
The color gauge invariance and a possible origin of a mass gap in 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 The color gauge invariance and a possible origin of a mass gap in QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The color gauge invariance and a possible origin of a mass gap in QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-631479