Paraquantum Yang-Mills theory and PBRST transformations

We investigate an extension of the non-abelian gauge theories in the paraquantum formalism of order 2 for both gauge fields and matter fields. The model, which consists in applying the Faddeev-Popov formalism on the Klein ordinary fields, gives a set of ParaBRST (PBRST) transformations satisfying the nilpotence property. This investigation conduct us to a discussion about the (im)possibility to reformulate an ordinary field theory solely in terms of parafields of order two. A modified Klein transformations which could give some progress in this direction is proposed