The Slavnov-Taylor Identities for the 2+1 Dimensional Noncommutative CP$^{N-1}$ Model

Abstract

In the context of the $1/N$ expansion, the validity of the Slavnov-Taylor identity relating three and two point functions for the $2+1$ dimensional noncommutative CP$^{N-1} $ model is investigated, up to subleading $1/N$ order, in the Landau gauge.