Nonlinear iteration solution for the full gluon propagator as a function of the mass gap

Details Nonlinear iteration solution for the full gluon propagator as a function of the mass gap Nonlinear iteration solution for the full gluon propagator as a function of the mass gap

2009-04-15

arxiv.org/abs/0904.2266v3

Int. J. Theor. Phys. 48 (2009) 3470

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, no figures, no tables, a few new references are added

Scientific paper

10.1007/s10773-009-1051-6

We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the nonlinear interaction of massless gluon modes. All this allows one to establish the structure of the full gluon propagator in the explicit presence of the mass gap. In this case, the two independent general types of formal solutions for the full gluon propagator as a function of the regularized mass gap have been found. The nonlinear iteration solution at which the gluons remain massless is explicitly present. The existence of the solution with an effective gluon mass is also demonstrated.

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