Nc GUTS: A status Report

On UV/IR mixing in noncommutative gauge field theories

“…This also enables one to deform commutative gauge theories with essentially arbitrary gauge group and representation [11,12,13,14,15,16]. Such a procedure furthermore allows the construction of NC extensions of important particle physic models like the NC standard model and grand unified theory models [17,18,19,20,21,22]. Moreover, upon expanding up to first order in θ, those models were shown to develop trouble-free one-loop quantum corrections [23,24,25,26,27,28,29,30,31,32,33].…”

“…There, a gauge field couples to a spinor field in the adjoint representation of U ⋆ (1), which enables particles not charged under the gauge group to have an electric dipole moment proportional to θ. More generally, electrically neutral matter fields will be promoted via (hybrid) Seiberg-Witten map to NC fields that couple via star commutator to photons and transform in the adjoint representation -this is also the case for phenomenologically promising NC grand unified theories [19,22]. Since such an interaction has no its commutative counterpart, it switches off when θ → 0.…”