The 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. In this formalism, the NC parameter, {\it i.e.} ${\theta }^{\mu \nu }$, is promoted to a coordinate of a new extended space-time. Consequently, we can construct a 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 point of view can emerge in the fields propagation along the extra-dimension. In this paper we have introduced the gauge invariance in the DFR NC space-time by the composite symmetry $U^{\star }(N)\times U^{\star }(N)$. We have constructed the non-Abelian gauge symmetry based on DFR formalism, and we analyzed the consequences of this symmetry in the presence of such extra-dimensions. The gauge symmetry in this DFR scenario can reveal new gauge fields attached to $\theta$-extra-dimension. As an application, we have accomplished the unification of Strong Interaction with the electromagnetism and a Higgs model to give masses to the NC bosons. We have estimated their masses by using some experimental constraints of QCD.

arXiv admin note: substantial text overlap with arXiv:1506.00035

References in corpus (12)

• The Status of Glueballs
• Symmetry, Gravity and Noncommutativity
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• Quantum Mechanics on Noncommutative Spacetime
• Unusual High-Energy Phenomenology of Lorentz-Invariant Noncommutative Field Theories
• Tensor Operators in Noncommutative Quantum Mechanics
• Dynamical symmetries in noncommutative theories
• On general properties of Lorentz invariant formulation of noncommutative quantum field theory
• Fermions and noncommutative theories
• Tensor Coordinates in Noncommutative Mechanics
• Self-quartic interaction for a scalar field in an extended DFR noncommutative spacetime
• Spontaneous symmetry breaking and masses numerical results in DFR noncommutative space-time

Cited by in corpus (3)

• Maximal acceleration in a Lorentz invariant non-commutative space-time
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• The standard electroweak model in the noncommutative $DFR$ space-time