Strong interaction model in DFR noncommutative space–time

Abstract

The Doplicher–Fredenhagen–Roberts (DFR) framework for noncommutative (NC) space–times is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, i.e. [Formula: see text], is promoted to a coordinate of a new extended space–time. Consequently, we have field theory in a space–time with spatial extra-dimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extra-dimension. In this paper, we introduce the gauge invariance in the DFR NC space–time by the composite symmetry [Formula: see text]. We present the non-Abelian gauge symmetry in DFR formalism and the consequences of this symmetry in the presence of such extra-dimension. The gauge symmetry in this DFR scenario can reveal new gauge fields attached to [Formula: see text]-extra-dimension. As application, we construct a unification of Strong Interaction with the electromagnetism and a Higgs model to give masses to the NC bosons. We estimate their masses by using some experimental constraints of QCD.