Abstract
We consider the coupling of fermions to the three-dimensional noncommutative ${\mathrm{CP}}^{N\ensuremath{-}1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared divergences in the corrections to the two-point vertex function of the scalar field. However, using superfield techniques we prove that the supersymmetric version of this model with ``antisymmetrized'' coupling of the Lagrange multiplier field is renormalizable up to the first order in $1/N.$ The auxiliary spinor gauge field acquires a nontrivial (nonlocal) dynamics with generation of Maxwell and Chern-Simons noncommutative terms in the effective action. Up to $1/N$ order all divergences are only logarithmic so that the model is free from nonintegrable infrared singularities.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
