2004/02/29 by E. A. Asano, H. O. Girotti, M. Gomes +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.69.105012
published as Phys.Rev. D69 (2004) 105012 · Minor corrections in the text and modifications in the list of references
arxiv created 2004/04/19 · openalex publication_date 2004/05/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider the coupling of fermions to the three-dimensional noncommutative 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.