الخلاصة:
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.
