Coupling of fermions to the three-dimensional noncommutative CPN-1 model: minimal and supersymmetric extensions

Author(s)

Asano, E. A. ; Girotti, H. O. ; Gomes, M. ; Petrov, A. Y. ^[4] ; Rodrigues, A. G. ; Silva, A. J. da

• Document type: Journal article
• Source: Physical Review D; v. 69, n. 10, p. 105012-1-105012-11, maio 2004.
• Field of knowledge: Physical Sciences and Mathematics - Physics

Abstract

We consider the coupling of fermions to the three-dimensional noncommutative CPN-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. (AU)