(2+1)D Noncommutative CP$^{N-1}$ Model
摘要
We investigate possible extensions of the (2+1) dimensional model to the noncommutative space. Up to the leading nontrivial order of 1/N, we prove that the model restricted to the left fundamental representation of the gauge group is renormalizable and does not have dangerous infrared divergences. In contrast, if the basic field transforms in accord with the adjoint representation, infrared singularities are present in the two point function of the auxiliary gauge field and also in the leading correction to the self-energy of the field. These infrared divergences may produce nonintegrable singularities leading at higher orders to a breakdown of the 1/N expansion. Gauge invariance of the renormalization procedure is also discussed.
引用
@article{arxiv.hep-th/0307114,
title = {(2+1)D Noncommutative CP$^{N-1}$ Model},
author = {E. A. Asano and M. Gomes and A. G. Rodrigues and A. J. da Silva},
journal= {arXiv preprint arXiv:hep-th/0307114},
year = {2009}
}
备注
31 pages, 11 figures, revtex4, minor corrections in some equations and in the text