The dual behavior of quantum Fields and the big Bang
  We modify the propagation for the quarks and gluons, with that we have finite results, without ultra violet divergence in perturbed interaction of the quarks and gluons, this makes it easily for the interaction renormalization, like the self energy. Then we search for a way to remove our modification, with fixing the Lagrange parameters. so we can ignore our modification. We relate the modification to interaction situation, this is, we need it only for interaction renormalization. we see for the free the modification is removed. then We try to give the modification terms modification physical aspects, for this we see the corresponding terms in the Lagrange. To do that we find the role of those terms in the Feynman diagrams, in self energies, quarks gluons vertex. We see we can relate the propagation modification to fields dual behavior, pairing particle with antiparticle appears as scalar particles with high mass. For the quarks we can interrupt these particles as pions. 
Malik Matwi
physics.gen-ph hep-th