La Phénoménologie au dela du modéle standard

Abstract

In this thesis we have constructed the quantized Standard model, with massless ghost Öelds using an extended mathematical formalism of discrete space with six components valued functions. According to this, we introduced the generalized 1-forms, super Öelds, and we applied this formalism to a superspace, moreover, to eliminate certain terms and to obtain the Fadeev-Popov and Öxing terms, we generalized the scalar product. The resulting Lagrangian has a residual symmetry (BRST), due to the mathematical formalism used and which is acceptable from the physical point of view. Using Seiberg-Witten maps approach to non commutative space-time, we study the phenomenology beyond the standard model applied on the quantum chromodynamics.