Noncommutative quantum field theory and gauge boson interactions in noncommutative standard model

Abstract

The noncommutative scalar field theory exhibits an intriguing mixing of the ultraviolet (A → ∞ ) and infrared (p → 0) regimes. In non-minimal noncommutative Standard Model, we can find the triple gauge boson interactions (Z → γγ, Z → gg), which are forbidden in the ordinary Standard Model. Therefore, an experimental discovery of Z → γγ, gg may be the evidence of spacetime noncommutativity and definitive appearance of new physics.