The noncommutative (NC) framework elaborated by Doplicher, Fredenhagen and Roberts (DFR) has a Lorentz invariant space–time structure in order to be considered as a candidate to understand the physics of the early Universe. In DFR formalism, the NC parameter [Formula: see text] is a coordinate operator in an extended Hilbert space and it has a conjugate momentum. Since [Formula: see text] and [Formula: see text] are independent coordinates, the Moyal–Weyl (MW) product can be used in this framework. With these elements, in this work, we have constructed the standard electroweak model. To accomplish this task, we have begun with the MW-product basis group of symmetry. After that we have introduced the spontaneous symmetry breaking and the hypercharge in DFR framework. The electroweak symmetry breaking was analyzed and the masses of the new bosons were computed. Finally, the gauge symmetry and gauge transformations were discussed.
Rotationally invariant space-time trellis codes with 4-D rectangular constellations for high data rate wireless communications
