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

TL;DR

This paper investigates the validity of Slavnov-Taylor identities in a 2+1 dimensional noncommutative CP^{N-1} model within the 1/N expansion, focusing on subleading order corrections in Landau gauge.

Contribution

It demonstrates the validity of Slavnov-Taylor identities at subleading 1/N order in a noncommutative CP^{N-1} model, extending previous leading-order results.

Findings

Slavnov-Taylor identities hold at subleading order in 1/N.

The analysis is performed in Landau gauge.

The results support gauge invariance in the noncommutative 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.